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Journal articles on the topic 'Extensions compactes'

Author: Grafiati

Published: 14 December 2024

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1

Casanovas, Enrique. "Compactly expandable models and stability." Journal of Symbolic Logic 60, no. 2 (1995): 673–83. http://dx.doi.org/10.2307/2275857.

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In analogy to ω-logic, one defines M-logic for an arbitrary structure M (see [5],[6]). In M-logic only those structures are considered in which a special part, determined by a fixed unary predicate, is isomorphic to M. Let L be the similarity type of M and T its complete theory. We say that M-logic is κ-compact if it satisfies the compactness theorem for sets of < κ sentences. In this paper we introduce the related notion of compactness for expandability: a model M is κ-compactly expandable if for every extension T′ ⊇ T of cardinality < κ, if every finite subset of T′ can be satisfied in

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2

Caicedo, Xavier. "A simple solution to Friedman's fourth problem." Journal of Symbolic Logic 51, no. 3 (1986): 778–84. http://dx.doi.org/10.2307/2274031.

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AbstractIt is shown that Friedman's problem, whether there exists a proper extension of first order logic satisfying the compactness and interpolation theorems, has extremely simple positive solutions if one considers extensions by generalized (finitary) propositional connectives. This does not solve, however, the problem of whether such extensions exist which are also closed under relativization of formulas.

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3

Zhang, Zhihua. "Approximation of Bivariate Functions via Smooth Extensions." Scientific World Journal 2014 (2014): 1–16. http://dx.doi.org/10.1155/2014/102062.

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For a smooth bivariate function defined on a general domain with arbitrary shape, it is difficult to do Fourier approximation or wavelet approximation. In order to solve these problems, in this paper, we give an extension of the bivariate function on a general domain with arbitrary shape to a smooth, periodic function in the whole space or to a smooth, compactly supported function in the whole space. These smooth extensions have simple and clear representations which are determined by this bivariate function and some polynomials. After that, we expand the smooth, periodic function into a Fouri

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4

van den Berg, Benno, and Ieke Moerdijk. "The axiom of multiple choice and models for constructive set theory." Journal of Mathematical Logic 14, no. 01 (2014): 1450005. http://dx.doi.org/10.1142/s0219061314500056.

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We propose an extension of Aczel's constructive set theory CZF by an axiom for inductive types and a choice principle, and show that this extension has the following properties: it is interpretable in Martin-Löf's type theory (hence acceptable from a constructive and generalized-predicative standpoint). In addition, it is strong enough to prove the Set Compactness theorem and the results in formal topology which make use of this theorem. Moreover, it is stable under the standard constructions from algebraic set theory, namely exact completion, realizability models, forcing as well as more gene

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5

Kim, Yong-Chan, and S. E. Abbas. "Some good extensions of compactness." Journal of Korean Institute of Intelligent Systems 13, no. 5 (2003): 614–20. http://dx.doi.org/10.5391/jkiis.2003.13.5.614.

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6

Enayat, Ali. "Conservative extensions of models of set theory and generalizations." Journal of Symbolic Logic 51, no. 4 (1986): 1005–21. http://dx.doi.org/10.2307/2273912.

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An attempt to answer the following question gave rise to the results of the present paper. Let be an arbitrary model of set theory. Does there exist an elementary extension of satisfying the two requirements: (1) contains an ordinal exceeding all the ordinals of ; (2) does not enlarge any (hyper) integer of ? Note that a trivial application of the ordinary compactness theorem produces a model satisfying condition (1); and an internal ultrapower modulo an internal ultrafilter produces a model satisfying condition (2) (but not (1), because of the axiom of replacement). Also, such a satisfying bo

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7

Paúl, Pedro J. "New applications of Pták's extension theorem to weak compactness." Czechoslovak Mathematical Journal 39, no. 3 (1989): 454–58. http://dx.doi.org/10.21136/cmj.1989.102316.

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8

Gasparis, I. "An extension of James's compactness theorem." Journal of Functional Analysis 268, no. 1 (2015): 194–209. http://dx.doi.org/10.1016/j.jfa.2014.10.021.

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9

Aygün, Halis, A. Arzu Bural, and S. R. T. Kudri. "Fuzzy Inverse Compactness." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–9. http://dx.doi.org/10.1155/2008/436570.

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We introduce definitions of fuzzy inverse compactness, fuzzy inverse countable compactness, and fuzzy inverse Lindelöfness on arbitrary -fuzzy sets in -fuzzy topological spaces. We prove that the proposed definitions are good extensions of the corresponding concepts in ordinary topology and obtain different characterizations of fuzzy inverse compactness.

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10

Pal, Arupkumar. "Regularity of operators on essential extensions of the compacts." Proceedings of the American Mathematical Society 128, no. 9 (2000): 2649–57. http://dx.doi.org/10.1090/s0002-9939-00-05611-2.

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11

Cencelj, M., and A. N. Dranishnikov. "Extension of Maps to Nilpotent Spaces." Canadian Mathematical Bulletin 44, no. 3 (2001): 266–69. http://dx.doi.org/10.4153/cmb-2001-026-1.

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AbstractWe show that every compactum has cohomological dimension 1 with respect to a finitely generated nilpotent group G whenever it has cohomological dimension 1 with respect to the abelianization of G. This is applied to the extension theory to obtain a cohomological dimension theory condition for a finite-dimensional compactum X for extendability of every map from a closed subset of X into a nilpotent CW-complex M with finitely generated homotopy groups over all of X.

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12

Buhagiar, David, and Mirna Džamonja. "Square compactness and the filter extension property." Fundamenta Mathematicae 252, no. 3 (2021): 325–42. http://dx.doi.org/10.4064/fm787-4-2020.

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13

Noorany, Iraj, and Curt Scheyhing. "Lateral Extension of Compacted-Fill Slopes in Expansive Soils." Journal of Geotechnical and Geoenvironmental Engineering 141, no. 1 (2015): 04014083. http://dx.doi.org/10.1061/(asce)gt.1943-5606.0001190.

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14

Chamashev, Marat, and Guliza Namazova. "ON COMPACTNESS TYPE EXTENSIONS OF TOPOLOGYCAL AND UNIFORM SPACES." Вестник Ошского государственного университета. Математика. Физика. Техника, no. 1(4) (June 11, 2024): 247–50. http://dx.doi.org/10.52754/16948645_2024_1(4)_46.

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In this article extensions of real-complete Tychonoff and uniform spaces are considered, as well as locally compact paracompact and locally compact Lindelöff extensions of Tychonoff and uniform spaces.

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15

Rubin, Leonard R., and Philip J. Schapiro. "Resolutions for metrizable compacta in extension theory." Transactions of the American Mathematical Society 358, no. 6 (2005): 2507–36. http://dx.doi.org/10.1090/s0002-9947-05-03747-5.

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16

Tian, Yuhang, Yanmin Shuai, Xianwei Ma, Congying Shao, Tao Liu, and Latipa Tuerhanjiang. "Improved Landscape Expansion Index and Its Application to Urban Growth in Urumqi." Remote Sensing 14, no. 20 (2022): 5255. http://dx.doi.org/10.3390/rs14205255.

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Automatic determination of quantitative parameters describing the pattern of urban expansion is extremely important for urban planning, urban management and civic resource configuration. Though the widely adopted LEI (landscape expansion index) has exhibited the potential to capture the evolution of urban landscape patterns using multi-temporal remote sensing data, erroneous determination still exists, especially for patches with special shapes due to the limited consideration of spatial relationships among patches. In this paper, we improve the identification of urban landscape expansion patt

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17

Kuijper, Josefien. "A descent principle for compactly supported extensions of functors." Annals of K-Theory 8, no. 3 (2023): 489–529. http://dx.doi.org/10.2140/akt.2023.8.489.

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18

Levin, Michael. "Constructing Compacta of Different Extensional Dimensions." Canadian Mathematical Bulletin 44, no. 1 (2001): 80–86. http://dx.doi.org/10.4153/cmb-2001-009-2.

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19

Tang, Van Lam, Boris Igorevich Bulgakov, and Olga Vladimirovna Aleksandrova. "DETERMINATION OF ADHESIVE STRENGTH LAYER’S ROLLER COMPACTED CONCRETE THE METHOD AXIAL EXTENSION." Vestnik MGSU, no. 6 (June 2017): 647–53. http://dx.doi.org/10.22227/1997-0935.2017.6.647-653.

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Roller compacted concrete for the construction of hydraulic and hydroelectric buildings is a composite material, which consists of a binder, fine aggregate (sand), coarse aggregate (gravel or crushed stone), water and special additives that provide the desired concrete workability and impart the required concrete performance properties. Concrete mixture is prepared at from concrete mixing plants strictly metered quantities of cement, water, additives and graded aggregates, whereupon they are delivered to the site laying Mixer Truck and sealing layers with each stack layer. The advantages of ro

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20

MATHEW, SUNIL C., and Vivek S. "On the extensions of a double fuzzy topological space." Journal of Advanced Studies in Topology 9, no. 1 (2018): 75–93. http://dx.doi.org/10.20454/jast.2018.1431.

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This paper introduces extensions of a double fuzzy topological space and investigates the link between the associated fuzzy topologies of a given space and its extensions. It is also explored whether the \((r, s)\)-connectedness and \((p, q)\)-compactness of a double fuzzy topological space are carried over to its extensions.

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21

Liu, Jun Xin, Zhong Fu Chen, and Wei Fang Xu. "Study on Character of Triaxial Extension Strength of Compacted Clay." Advanced Materials Research 243-249 (May 2011): 2183–87. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.2183.

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For soils, failure occurs with lower deviatoric stress under the same pressure (the first invariant of stress tensor) in TXE compared with the strength of the triaxial compression, which is indicated that the strength of soils strongly depends on the third invariant of stress deviator; Although in the traditional Mohr-Coulomb criterion it can be reflected in difference of strength between triaxial extension and compression under the same pressure, it’s nothing to do with the pressure for the strength ratio between triaxial extension and compression. By TXC and TXE, changes of deviatoric stress

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22

Brodskii, N. B. "Extension of maps to the hyperspace ofUVn-compacta." Russian Mathematical Surveys 54, no. 6 (1999): 1236–37. http://dx.doi.org/10.1070/rm1999v054n06abeh000233.

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23

Herrlich, Horst, Paul Howard, and Kyriakos Keremedis. "On extensions of countable filterbases to ultrafilters and ultrafilter compactness." Quaestiones Mathematicae 41, no. 2 (2017): 213–25. http://dx.doi.org/10.2989/16073606.2017.1376229.

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24

Garncarek, Ł. "Property of rapid decay for extensions of compactly generated groups." Publicacions Matemàtiques 59 (July 1, 2015): 301–12. http://dx.doi.org/10.5565/publmat_59215_02.

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25

Balder, Erik J. "On compactness results for multi-scale convergence." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 129, no. 3 (1999): 467–76. http://dx.doi.org/10.1017/s0308210500021466.

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Two relative compactness results for two-scale convergence in homogenization, due to G. Nguetseng, were recently extended to the multi-scale case by G. Allaire and M. Briane. Whereas their extension of Nguetseng's first result, which is in L2, is straightforward, their extension of his second result, which takes place in the Sobolev space H1, is quite complicated, even though it follows Nguetseng by using the fact that the image of H1 under the gradient mapping is the orthogonal complement of the set of divergence-free functions. Here a much simpler proof is provided by deriving the H1-type re

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26

Ben-Neria, Omer. "Diamonds, compactness, and measure sequences." Journal of Mathematical Logic 19, no. 01 (2019): 1950002. http://dx.doi.org/10.1142/s0219061319500028.

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We establish the consistency of the failure of the diamond principle on a cardinal [Formula: see text] which satisfies a strong simultaneous reflection property. The result is based on an analysis of Radin forcing, and further leads to a characterization of weak compactness of [Formula: see text] in a Radin generic extension.

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27

BURNS, DAVID. "ON THE GALOIS STRUCTURE OF ARITHMETIC COHOMOLOGY I: COMPACTLY SUPPORTED -ADIC COHOMOLOGY." Nagoya Mathematical Journal 239 (November 16, 2018): 294–321. http://dx.doi.org/10.1017/nmj.2018.41.

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We investigate the Galois structures of $p$-adic cohomology groups of general $p$-adic representations over finite extensions of number fields. We show, in particular, that as the field extensions vary over natural families the Galois modules formed by these cohomology groups always decompose as the direct sum of a projective module and a complementary module of bounded $p$-rank. We use this result to derive new (upper and lower) bounds on the changes in ranks of Selmer groups over extensions of number fields and descriptions of the explicit Galois structures of natural arithmetic modules.

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28

Zabotin,, Vladislav I., and Pavel A. Chernyshevskij. "Extension of Strongins Global Optimization Algorithm to a Function Continuous on a Compact Interval." Computer Research and Modeling 11, no. 6 (2019): 1111–19. http://dx.doi.org/10.20537/2076-7633-2019-11-6-1111-1119.

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29

Bami, M. Lashkarizadeh, B. Mohammadzadeh, and R. Nasr-Isfahani. "Inner invariant extensions of Dirac measures on compactly cancellative topological semigroups." Bulletin of the Belgian Mathematical Society - Simon Stevin 14, no. 4 (2007): 699–708. http://dx.doi.org/10.36045/bbms/1195157138.

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30

Calabuig, J. M., E. Jiménez Fernández, M. A. Juan, and E. A. Sánchez Pérez. "Optimal extensions of compactness properties for operators on Banach function spaces." Topology and its Applications 203 (April 2016): 57–66. http://dx.doi.org/10.1016/j.topol.2015.12.075.

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31

Lu, Peirong, Yaxin Liu, Yujie Yang, Yu Zhu, and Zhonghua Jia. "Evaluating Soil Water–Salt Dynamics under Brackish Water Drip Irrigation in Greenhouses Subjected to Localized Topsoil Compaction." Agriculture 14, no. 3 (2024): 412. http://dx.doi.org/10.3390/agriculture14030412.

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Localized soil compaction in greenhouses resulting from less frequent tillage operations and frequent trampling by farmers inevitably disturbs the continuity and homogeneity of soil’s hydraulic properties, which impacts the precision of greenhouse cultivation regarding water supply and salinity control. However, predicting water–salt dynamics under partly compacted topsoil is difficult because of the interactions between many factors related to soil properties, including irrigation method and water quality, which are especially subjected to varied compaction sizes and positions. Here, two fiel

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32

Işık, Hüseyin, Shahram Banaei, Farhan Golkarmanesh, Vahid Parvaneh, Choonkil Park, and Maryam Khorshidi. "On New Extensions of Darbo’s Fixed Point Theorem with Applications." Symmetry 12, no. 3 (2020): 424. http://dx.doi.org/10.3390/sym12030424.

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In this paper, we extend Darbo’s fixed point theorem via weak JS-contractions in a Banach space. Our results generalize and extend several well-known comparable results in the literature. The technique of measure of non-compactness is the main tool in carrying out our proof. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.

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33

Fatehi, M. "On the Generalized Hardy Spaces." Abstract and Applied Analysis 2010 (2010): 1–14. http://dx.doi.org/10.1155/2010/803230.

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We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.

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34

Cen, Y. G., R. Z. Zhao, L. H. Cen, Z. J. Miao, and X. F. Chen. "Explicit construction of compactly supported biorthogonal multiwavelets via matrix extension." IMA Journal of Applied Mathematics 79, no. 3 (2013): 502–34. http://dx.doi.org/10.1093/imamat/hxt001.

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35

Warner, M. W. "A theorem on sequentiality and compactness, with its fuzzy extension." Fuzzy Sets and Systems 30, no. 3 (1989): 321–27. http://dx.doi.org/10.1016/0165-0114(89)90023-7.

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36

Guerrero-García, Guillermo Iván, Enrique González-Tovar, Martín Chávez-Páez, Jacek Kłos, and Stanisław Lamperski. "Quantifying the thickness of the electrical double layer neutralizing a planar electrode: the capacitive compactness." Physical Chemistry Chemical Physics 20, no. 1 (2018): 262–75. http://dx.doi.org/10.1039/c7cp05433e.

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37

Karsli, Harun. "Extension of the generalized Bézier operators by wavelets." General Mathematics 30, no. 2 (2022): 3–15. http://dx.doi.org/10.2478/gm-2022-0010.

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Abstract In this paper we introduce a novel extension of generalized Bézier operators by replacing the sample values f ( k n ) f\left({{k\overn}}\right) with the wavelet expansion of the function f. Using the compactly supported Daubechies wavelets, we construct a wavelet type extension of the generalized Bézier operators defined by Gupta [7]. Moreover, we investigate some properties of these operators in some function spaces.

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38

Dahia, Elhadj. "The extension of two-Lipschitz operators." Applied General Topology 25, no. 1 (2024): 47–56. http://dx.doi.org/10.4995/agt.2024.20296.

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The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphism identification of two-Lipschitz operators and Lipschitz operators. After defining and characterize the adjoint of two-Lipschitz operator, we prove a Schauder type theorem on the compactness of the adjoint. We study the extension of two-Lipschitz operators from cartesian product of two complemented subspaces of a Banach space to the cartesian product of whole spaces. Also, we show that every two-Lipschitz functional defined on cartesian product of two pointed metric

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39

Chang, Shun-Cheng. "Compactness theorems for critical metrics of the Weyl functional on compact Kähler surfaces." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 62, no. 2 (1997): 217–28. http://dx.doi.org/10.1017/s144678870000077x.

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40

Sims, Brailey, and David Yost. "Linear Hahn–Banach extension operators." Proceedings of the Edinburgh Mathematical Society 32, no. 1 (1989): 53–57. http://dx.doi.org/10.1017/s0013091500006908.

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Given any subspace N of a Banach space X, there is a subspace M containing N and of the same density character as N, for which there exists a linear Hahn–Banach extension operator from M* to X*. This result was first proved by Heinrich and Mankiewicz [4, Proposition 3.4] using some of the deeper results of Model Theory. More precisely, they used the Banach space version of the Löwenheim–Skolem theorem due to Stern [11], which in turn relies on the Löwenheim–Skolem and Keisler–Shelah theorems from Model Theory. Previously Lindenstrauss [7], using a finite dimensional lemma and a compactness arg

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41

Смирнов, Сергей Николевич, and Sergey Smirnov. "A guaranteed deterministic approach to superhedging: mixed strategies and game equilibrium." Mathematical Game Theory and Applications 12, no. 1 (2020): 60–90. http://dx.doi.org/10.17076/mgta_2020_1_11.

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For a discrete-time superreplication problem, a guaranteed deterministic formulation is considered: the problem is to ensure a cheapest coverage of the contingent claim on an option under all scenarios which are set using a priori defined compacts, depending on the price history: price increments at each moment of time must lie in the corresponding compacts. The market is considered with trading constraints and without transaction costs. The statement of the problem is game-theoretic in nature and leads directly to the Bellman - Isaacs equations. In this article, we introduce a mixed extension

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42

Tial, M. "Integral of an extension of the sine addition formula." Mathematical Modeling and Computing 10, no. 3 (2023): 833–40. http://dx.doi.org/10.23939/mmc2023.03.833.

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In this paper, we determine the continuous solutions of the integral functional equation of Stetkær's extension of the sine addition law ∫Gf(xyt)dμ(t)=f(x)χ1(y)+χ2(x)f(y), x,y∈G, where f:G→C, G is a locally compact Hausdorff group, μ is a regular, compactly supported, complex-valued Borel measure on G and χ1, χ2 are fixed characters on G.

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43

Danenko, V. F., L. M. Gurevich, E. Yu Kushkina, and E. B. Gladskikh. "EXTENSION OF THE SCOPE OF STEEL COMPACTED STRANDS AND ROPES MADE OF THEM." Izvestiya Visshikh Uchebnykh Zavedenii. Chernaya Metallurgiya = Izvestiya. Ferrous Metallurgy 59, no. 11 (2016): 764–72. http://dx.doi.org/10.17073/0368-0797-2016-11-764-772.

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44

Arora, Pamma D., Yongqiang Wang, Anne Bresnick, Paul A. Janmey, and Christopher A. McCulloch. "Flightless I interacts with NMMIIA to promote cell extension formation, which enables collagen remodeling." Molecular Biology of the Cell 26, no. 12 (2015): 2279–97. http://dx.doi.org/10.1091/mbc.e14-11-1536.

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We examined the role of the actin-capping protein flightless I (FliI) in collagen remodeling by mouse fibroblasts. FliI-overexpressing cells exhibited reduced spreading on collagen but formed elongated protrusions that stained for myosin10 and fascin and penetrated pores of collagen-coated membranes. Inhibition of Cdc42 blocked formation of cell protrusions. In FliI-knockdown cells, transfection with constitutively active Cdc42 did not enable protrusion formation. FliI-overexpressing cells displayed increased uptake and degradation of exogenous collagen and strongly compacted collagen fibrils,

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45

Bankston, Paul. "A hierarchy of maps between compacta." Journal of Symbolic Logic 64, no. 4 (1999): 1628–44. http://dx.doi.org/10.2307/2586802.

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AbstractLet CH be the class of compacta (i.e., compact Hausdorff spaces), with BS the subclass of Boolean spaces. For each ordinal α and pair (K, L) of subclasses of CH, we define Lev≥α(K, L), the class of maps of level at least α from spaces in K to spaces in L, in such a way that, for finite α, Lev≥α(BS, BS) consists of the Stone duals of Boolean lattice embeddings that preserve all prenex first-order formulas of quantifier rank α. Maps of level ≥ 0 are just the continuous surjections, and the maps of level ≥ 1 are the co-existential maps introduced in [8]. Co-elementary maps are of level ≥ω

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46

Paúl, Pedro J. "A quantitative extension of a theorem of Valdivia on weak compactness." Journal of Mathematical Analysis and Applications 456, no. 2 (2017): 1517–20. http://dx.doi.org/10.1016/j.jmaa.2017.07.072.

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47

Enayat, Ali. "Weakly compact cardinals in models of set theory." Journal of Symbolic Logic 50, no. 2 (1985): 476–86. http://dx.doi.org/10.2307/2274236.

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The central notion of this paper is that of a κ-elementary end extension of a model of set theory. A model is said to be a κ-elementary end extension of a model of set theory if > and κ, which is a cardinal of , is end extended in the passage from to , i.e., enlarges κ without enlarging any of its members (see §0 for more detail). This notion was implicitly introduced by Scott in [Sco] and further studied by Keisler and Morley in [KM], Hutchinson in [H] and recently by the author in [E]. It is not hard to see that if has a κ-elementary end extension then κ must be regular in . Keisler and M

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48

Kirk, W. A. "Transfinite methods in metric fixed-point theory." Abstract and Applied Analysis 2003, no. 5 (2003): 311–24. http://dx.doi.org/10.1155/s1085337503205029.

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This is a brief survey of the use of transfinite induction in metric fixed-point theory. Among the results discussed in some detail is the author's 1989 result on directionally nonexpansive mappings (which is somewhat sharpened), a result of Kulesza and Lim giving conditions when countable compactness implies compactness, a recent inwardness result for contractions due to Lim, and a recent extension of Caristi's theorem due to Saliga and the author. In each instance, transfinite methods seem necessary.

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49

Bezem, Marc. "Compact and majorizable functionals of finite type." Journal of Symbolic Logic 54, no. 1 (1989): 271–80. http://dx.doi.org/10.2307/2275030.

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The main result of this paper will be that various notions of majorizability and compactness coincide in the full typestructure over the natural numbers. Moreover we shall show that the extensional typestructure of strongly majorizable functionals can be obtained by applying Zucker's construction ( )E to any of these coinciding intensional typestructures. A different result is proved in the typestructure of effective operations, where not every majorizable functional is compact. Finally we shall introduce the concept of relative compactness in the full typestructure and prove that there are ju

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50

Helzerman, R. A., and M. P. Harper. "MUSE CSP: An Extension to the Constraint Satisfaction Problem." Journal of Artificial Intelligence Research 5 (November 1, 1996): 239–88. http://dx.doi.org/10.1613/jair.298.

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This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of partially shared variables. Such problems arise naturally in signal processing applications including computer vision, speech processing, and handwriting recognition. For these applications, it is often difficult to segment the data in only one way given the low-level information utilized by the segmentation algorithms. MUSE CSP can be used to compactly repr

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