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Relevant bibliographies by topics / Hyperspace – Mathematics

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Academic literature on the topic 'Hyperspace – Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Hyperspace – Mathematics"

1

Curtis, D. W. "Application of a Selection Theorem to Hyperspace Contractibility." Canadian Journal of Mathematics 37, no. 4 (August 1, 1985): 747–59. http://dx.doi.org/10.4153/cjm-1985-040-7.

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For X a metric continuum, 2X denotes the hyper space of all nonempty subcompacta, with the topology induced by the Hausdorff metric H, and C(X) ⊂ 2X the hyperspace of subcontinua. These hyperspaces are continua, in fact are arcwise-connected, since there exist order arcs between each hyperspace element and the element X. They also have trivial shape, i.e., maps of the hyperspaces into ANRs are homotopic to constant maps. For a detailed discussion of these and other general hyperspace properties, we refer the reader to Nadler's monograph [4].The question of hyperspace contractibility was first considered by Wojdyslawski [8], who showed that 2X and C(X) are contractible if X is locally connected. Kelley [2] gave a more general condition (now called property K) which is sufficient, but not necessary, for hyperspace contractibility. The continuum X has property K if for every there exists δ > 0 such that, for every pair of points x, y with d(x, y) < δ and every subcontinuum M containing x, there exists a subcontinuum N containing y with .

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Morales, José Ángel Juárez, Gerardo Reyna Hernández, Jesús Romero Valencia, and Omar Rosario Cayetano. "Free Cells in Hyperspaces of Graphs." Mathematics 9, no. 14 (July 10, 2021): 1627. http://dx.doi.org/10.3390/math9141627.

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Often for understanding a structure, other closely related structures with the former are associated. An example of this is the study of hyperspaces. In this paper, we give necessary and sufficient conditions for the existence of finitely-dimensional maximal free cells in the hyperspace C(G) of a dendrite G; then, we give necessary and sufficient conditions so that the aforementioned result can be applied when G is a dendroid. Furthermore, we prove that the arc is the unique arcwise connected, compact, and metric space X for which the anchored hyperspace Cp(X) is an arc for some p∈X.

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Costantini, C., S. Levi, and J. Pelant. "Infima of hyperspace topologies." Mathematika 42, no. 1 (June 1995): 67–86. http://dx.doi.org/10.1112/s0025579300011360.

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BERAN, ZDENĚK, and SERGEJ ČELIKOVSKÝ. "CHAOS ON HYPERSPACE." International Journal of Bifurcation and Chaos 23, no. 05 (May 2013): 1350084. http://dx.doi.org/10.1142/s0218127413500843.

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In this paper, the chaotic behavior of a set-valued mapping F : X → 2X, where X is a compact space, is investigated. The existence of the generalized shadowing property in the hyperspace 2X is proved. Based on the generalized shadowing property of the set-valued mappings F and the assumption of the existence of an unstable chain recurrent point of the mapping F, it is shown that the Bernoulli system of bi-directional shifts is embedded in the sense of semiconjugacy into the image of mapping F, i.e. Smale's chaos in the set-valued system F is thereby proved.

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Ingram, W. T., and D. D. Sherling. "Two Continua Having A Property of J. L. Kelley." Canadian Mathematical Bulletin 34, no. 3 (September 1, 1991): 351–56. http://dx.doi.org/10.4153/cmb-1991-056-1.

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AbstractIn proving the contractibility of certain hyperspaces J. L. Kelley identified and defined a certain uniformnessproperty which he called Property 3.2. It is known that the classes of locally connected continua, homogeneous continua and hereditarily indecomposable continua have Property 3.2. In this paper we prove that two examples of indecomposable continua developed respectively by the authors have Property 3.2. One is the example of a nonchainable atriodic tree-like continuum with positive span which was defined by the first author, and the other is a nonchainable, noncircle-like continuum which has the cone=hyperspace property which was defined by the second author. Each of the examples is an inverse limit of an inverse system having a single bonding map.

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Macías, Sergio, and Sam B. Nadler. "Absolute n-fold hyperspace suspensions." Colloquium Mathematicum 105, no. 2 (2006): 221–31. http://dx.doi.org/10.4064/cm105-2-5.

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Banks, John. "Chaos for induced hyperspace maps." Chaos, Solitons & Fractals 25, no. 3 (August 2005): 681–85. http://dx.doi.org/10.1016/j.chaos.2004.11.089.

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Maya, David, Patricia Pellicer-Covarrubias, and Roberto Pichardo-Mendoza. "Cardinal functions of the hyperspace of convergent sequences." Mathematica Slovaca 68, no. 2 (April 25, 2018): 431–50. http://dx.doi.org/10.1515/ms-2017-0114.

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Abstract The symbol 𝓢c(X) denotes the hyperspace of all nontrivial convergent sequences in a Hausdorff space X. This hyperspace is endowed with the Vietoris topology. In the current paper, we compare the cellularity, the tightness, the extent, the dispersion character, the net weight, the i-weight, the π-weight, the π-character, the pseudocharacter and the Lindelöf number of 𝓢c(X) with the corresponding cardinal function of X. We also answer a question posed by the authors in a previous paper.

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9

Holá, Lubica. "Embeddings in the Fell and Wijsman topologies." Filomat 33, no. 9 (2019): 2747–50. http://dx.doi.org/10.2298/fil1909747h.

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It is shown that if a T2 topological space X contains a closed uncountable discrete subspace, then the spaces (?1 + 1)? and (?1 + 1)?1 embed into (CL(X),?F), the hyperspace of nonempty closed subsets of X equipped with the Fell topology. If (X, d) is a non-separable perfect topological space, then (?1 + 1)? and (?1 +1)?1 embed into (CL(X), ?w(d)), the hyperspace of nonempty closed subsets of X equipped with the Wijsman topology, giving a partial answer to the Question 3.4 in [2].

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Shapiro, L. B. "The category characteristic of a hyperspace." Russian Mathematical Surveys 43, no. 4 (August 31, 1988): 233–34. http://dx.doi.org/10.1070/rm1988v043n04abeh001901.

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Dissertations / Theses on the topic "Hyperspace – Mathematics"

1

Peng, Na. "Fractal Gauges for Hyperspace: One Limit Point." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1278387275.

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Espinoza, Benjamin. "Whitney preserving maps." Morgantown, W. Va. : [West Virginia University Libraries], 2002. http://etd.wvu.edu/templates/showETD.cfm?recnum=2451.

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Thesis (Ph. D.)--West Virginia University, 2002.
Title from document title page. Document formatted into pages; contains vii, 60 p. : ill. Includes abstract. Includes bibliographical references (p. 59-60).

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McParland, Joseph Edward. "Multi-selectible continua." Morgantown, W. Va. : [West Virginia University Libraries], 1998. http://etd.wvu.edu/templates/showETD.cfm?recnum=144.

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Burdick, Bruce Stanley. "Local compactness and the cofine uniformity with applications to hyperspaces /." The Ohio State University, 1985. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487261553058871.

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Stone, Jennifer Williamson Heath Jo W. Smith Michel. "Non-metric continua that support Whitney maps." Auburn, Ala., 2007. http://hdl.handle.net/10415/1375.

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Wicks, Keith Richard. "Hyperspaces and self-similarity." Thesis, University of Hull, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.333899.

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Finegan, Edward Graham. "Intelligent Autonomous Data Categorization." VCU Scholars Compass, 2005. http://scholarscompass.vcu.edu/etd/1343.

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The goal of this research was to determine if the results of a simple comparison algorithm (SCA) could be improved by adding a hyperspace analogue to language model of memory (HAL) layer to form NCA. The HAL layer provides contextual data that otherwise would be unavailable for consideration. It was found that NCA did improve the results when compared to SCA alone. However, NCA added complexity problems that limit its practicality. The complexity of this algorithm is On3 where n is equal to the number of unique symbols in the data. While there is a relativity reasonable soft upper bound for the number of unique symbols used in a language, the complexity still limits the uses of the NCA combined algorithm. The conclusion from this research is that NCA can improve results. This research also suggested that the quality of results might increase as more data is processed by NCA.

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Birch, Thomas. "Algorithmic randomness on computable metric spaces and hyperspaces." Master's thesis, University of Cape Town, 2012. http://hdl.handle.net/11427/22093.

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In this text we shall be focusing on generalizing Martin-Löf randomness to computable metric spaces with arbitrary measure (for examples of this type of generalization see Gács [14], Rojas and Hoyrup [15]. The aim of this generalization is to define algorithmic randomness on the hyperspace of non-empty compact subsets of a computable metric space, the study of which was first proposed by Barmpalias et al. [16] at the University of Florida in their work on the random closed subsets of the Cantor space. Much work has been done in the study of random sets with authors such as Diamondstone and Kjos-Hanssen [17] continuing the Florida approach, whilst others such as Axon [18] and Cenzer and Broadhead [19] have been studying the use of capacities to define hyperspace measures for use in randomness tests. Lastly in section 6.4 we shall be looking at the work done by Hertling and Weihrauch [13] on universal randomness tests in effective topological measure spaces and relate their results to randomness on computable metric measure spaces and in particular to the randomness of compact sets in the hyperspace of non-empty compact subsets of computable metric spaces.

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Di, Caprio Debora. "Selections, orderability and complete systems : formally convex-valued multifunctions, minimum maps and the tightness of upper hyperspaces /." 2004. http://wwwlib.umi.com/cr/yorku/fullcit?pNQ99161.

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Thesis (Ph.D.)--York University, 2004. Graduate Programme in Mathematics and Statistics.
Typescript. Includes bibliographical references (leaves 148-156). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://wwwlib.umi.com/cr/yorku/fullcit?pNQ99161

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Tan, Jiang. "Theoretical study of oscillator strength in hyperspherical coordinates." 1985. http://hdl.handle.net/2097/27556.

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Books on the topic "Hyperspace – Mathematics"

1

Pickover, Clifford A. Surfing through hyperspace: Understanding higher universes in six easy lessons. New York: Oxford University Press, 1999.

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Claudio, Procesi, ed. Topics in hyperplane arrangements, polytopes and box-splines. New York: Springer, 2011.

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3

Topics on continua. Boca Raton: Chapman & Hall/CRC, 2005.

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Robbin, Tony. Shadows of reality: The fourth dimension in relativity, cubism, and modern thought. New Haven: Yale University Press, 2006.

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Shadows of reality: The fourth dimension in relativity, cubism, and modern thought. New Haven: Yale University Press, 2006.

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6

service), SpringerLink (Online, ed. Spherical Tube Hypersurfaces. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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7

Alt, Mick. Exploring hyperspace: A non-mathematical explanation of multivariate analysis. London: McGraw-Hill, 1990.

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8

Kaku, Michio. Hyperspace: A scientific odyssey through parallel universes, time warps, and the tenth dimension. Oxford: Oxford University Press, 1995.

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Hyperspace: A scientific odyssey through parallel universes, time warps, and the tenth dimension. New York: Oxford University Press, 1994.

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10

Hyperspace: A scientific odyssey through parallel universes, time warps, and the tenth dimension. New York: Anchor Books, 1995.

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Book chapters on the topic "Hyperspace – Mathematics"

1

Grosholz, Emily Rolfe. "Music and Hyperspace." In Mathematics, Culture, and the Arts, 19–36. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98231-1_2.

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2

Lowen, R. "Approach Theory Meets Hyperspaces." In Springer Monographs in Mathematics, 337–61. London: Springer London, 2015. http://dx.doi.org/10.1007/978-1-4471-6485-2_10.

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Mac√≠as, Sergio. "n‚ÄìFOLD HYPERSPACES." In Pure and Applied Mathematics, 287–345. Chapman and Hall/CRC, 2005. http://dx.doi.org/10.1201/9781420026535.ch6.

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Orosz, Mihály, Dávid Tegze, Gábor Hosszú, and Ferenc Kovács. "NETRIC." In Encyclopedia of Information Communication Technology, 584–91. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-59904-845-1.ch077.

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The article presents a proposed method to select an optimal set of the multicast protocol parameters, which are linearly independent from each other. A multidimensional hyperspace, as a mathematical model, is stated where every transport protocol parameter is represented with an individual point. A determined novel protocol parameter set is shown and the modeling procedure is presented on some examples. A multicast transport simulator has been applied to describe the performance of the transport protocols and for optimization of the parameters, providing the most reliable multicasting operation.

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Conference papers on the topic "Hyperspace – Mathematics"

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Kepner, Jeremy, Timothy Davis, Vijay Gadepally, Hayden Jananthan, and Lauren Milechin. "Mathematics of Digital Hyperspace." In 2021 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW). IEEE, 2021. http://dx.doi.org/10.1109/ipdpsw52791.2021.00048.

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2

Zhang, Meili, Bo Deng, Yue Yang, and Pilin Che. "Some Connectedness and Related Property of Hyperspace with Vietoris Topology." In 2015 International Conference on Modeling, Simulation and Applied Mathematics. Paris, France: Atlantis Press, 2015. http://dx.doi.org/10.2991/msam-15.2015.73.

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