Relevant bibliographies by topics / Compact spaces. Topological spaces. Topology

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Compact spaces. Topological spaces. Topology'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Compact spaces. Topological spaces. Topology.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Compact spaces. Topological spaces. Topology"

1

Kovár, Martin Maria. "The Classes of Mutual Compactificability." International Journal of Mathematics and Mathematical Sciences 2007 (2007): 1–11. http://dx.doi.org/10.1155/2007/16135.

Full text
Abstract:
Two disjoint topological spacesX,Yare mutually compactificable if there exists a compact topology onK=X∪Ywhich coincides onX,Ywith their original topologies such that the pointsx∈X,y∈Yhave disjoint neighborhoods inK. The main problem under consideration is the following: which spacesX,Yare so compatible such that they together can form the compact spaceK? In this paper we define and study the classes of spaces with the similar behavior with respect to the mutual compactificability. Two spacesX1,X2belong to the same class if they can substitute each other in the above construction with any spac
APA, Harvard, Vancouver, ISO, and other styles
2

Ozturk, Taha Yasin, and Sadi Bayramov. "Soft Mappings Space." Scientific World Journal 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/307292.

Full text
Abstract:
Various soft topologies are being introduced on a given function space soft topological spaces. In this paper, soft compact-open topology is defined in functional spaces of soft topological spaces. Further, these functional spaces are studied and interrelations between various functional spaces with soft compact-open topology are established.
APA, Harvard, Vancouver, ISO, and other styles
3

BHATTACHARJEE, PAPIYA. "TWO SPACES OF MINIMAL PRIMES." Journal of Algebra and Its Applications 11, no. 01 (2012): 1250014. http://dx.doi.org/10.1142/s0219498811005373.

Full text
Abstract:
This paper studies algebraic frames L and the set Min (L) of minimal prime elements of L. We will endow the set Min (L) with two well-known topologies, known as the Hull-kernel (or Zariski) topology and the inverse topology, and discuss several properties of these two spaces. It will be shown that Min (L) endowed with the Hull-kernel topology is a zero-dimensional, Hausdorff space; whereas, Min (L) endowed with the inverse topology is a T1, compact space. The main goal will be to find conditions on L for the spaces Min (L) and Min (L)-1 to have various topological properties; for example, comp
APA, Harvard, Vancouver, ISO, and other styles
4

Aurichi, Leandro F., and Rodrigo R. Dias. "Topological Games and Alster Spaces." Canadian Mathematical Bulletin 57, no. 4 (2014): 683–96. http://dx.doi.org/10.4153/cmb-2013-048-5.

Full text
Abstract:
AbstractIn this paper we study connections between topological games such as Rothberger, Menger, and compact-open games, and we relate these games to properties involving covers byGδsubsets. The results include the following: (1) If TWO has a winning strategy in theMenger game on a regular spaceX, thenXis an Alster space. (2) If TWO has a winning strategy in the Rothberger game on a topological spaceX, then theGδ-topology onXis Lindelöf. (3) The Menger game and the compact-open game are (consistently) not dual.
APA, Harvard, Vancouver, ISO, and other styles
5

Georgiou, D. N., and B. K. Papadopoulos. "On nearly compact topological and fuzzy topological spaces." Topology and its Applications 123, no. 1 (2002): 73–85. http://dx.doi.org/10.1016/s0166-8641(01)00171-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Bardyla, Serhii, and Alex Ravsky. "Closed subsets of compact-like topological spaces." Applied General Topology 21, no. 2 (2020): 201. http://dx.doi.org/10.4995/agt.2020.12258.

Full text
Abstract:
<p>We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open dense subspaces of<br />countably pracompact topological spaces. We construct a pseudocompact topological semigroup which contains the bicyclic monoid as a closed subsemigroup. This example provides an affirmative answer to a question posed by Banakh, Dimitrova, and Gutik in [4]. Also, we show that the semigroup of ω×ω-matrix units
APA, Harvard, Vancouver, ISO, and other styles
7

Gabriyelyan, Saak S., and Sidney A. Morris. "Embedding into free topological vector spaces on compact metrizable spaces." Topology and its Applications 233 (January 2018): 33–43. http://dx.doi.org/10.1016/j.topol.2017.09.008.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Coquand, Thierry. "Minimal invariant spaces in formal topology." Journal of Symbolic Logic 62, no. 3 (1997): 689–98. http://dx.doi.org/10.2307/2275567.

Full text
Abstract:
A standard result in topological dynamics is the existence of minimal subsystem. It is a direct consequence of Zorn's lemma: given a compact topological space X with a map f: X→X, the set of compact non empty subspaces K of X such that f(K) ⊆ K ordered by inclusion is inductive, and hence has minimal elements. It is natural to ask for a point-free (or formal) formulation of this statement. In a previous work [3], we gave such a formulation for a quite special instance of this statement, which is used in proving a purely combinatorial theorem (van de Waerden's theorem on arithmetical progressio
APA, Harvard, Vancouver, ISO, and other styles
9

Al-shami, T. M. "Sum of the spaces on ordered setting." Moroccan Journal of Pure and Applied Analysis 6, no. 2 (2020): 255–65. http://dx.doi.org/10.2478/mjpaa-2020-0020.

Full text
Abstract:
AbstractOne of the divergences between topology and ordered topology is that some topological concepts such as separation axioms and continuous maps are defined using open neighborhoods or neighborhoods without any difference, however, they are distinct on the ordered topology according to the neighborhoods: Are they open neighborhoods or not? In this paper, we present the concept of sum of the ordered spaces using pairwise disjoint topological ordered spaces and study main properties. Then, we introduce the properties of ordered additive, finitely ordered additive and countably ordered additi
APA, Harvard, Vancouver, ISO, and other styles
10

Latif, Raja Mohammad. "Infra -α- Compact and Infra -α- Connected Spaces". International Journal of Pure Mathematics 8 (11 серпня 2021): 41–57. http://dx.doi.org/10.46300/91019.2021.8.6.

Full text
Abstract:
In 2016 Hakeem A. Othman and Md. Hanif Page introduced a new notion of set in general topology called an infra -α- open set and investigated its fundamental properties and studied the relationship between infra -α- open set and other topological sets. The objective of this paper is to introduce the new concepts called infra -α- compact space, countably infra -α- compact space, infra -α- Lindelof space, almost infra -α- compact space, mildly infra -α- compact space and infra -α- connected space in general topology and investigate several properties and characterizations of these new concepts in
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Compact spaces. Topological spaces. Topology"

1

Ntantu, Ibula. "The compact-open topology on C(X)." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/76467.

Full text
Abstract:
This paper investigates the compact-open topology on the set of C<sub>k</sub>(X) of continuous real-valued functions defined on a Tychonoff space X. More precisely, we study the following problem: If P is a topological property, does there exist a topological property Q so that C<sub>k</sub>(X) has P if and only if X has Q? Characterizations of many properties are obtained throughout the thesis, sometimes modulo some “mild” restrictions on the space X. The main properties involved are summarized in a diagram in the introduction.<br>Ph. D.
APA, Harvard, Vancouver, ISO, and other styles
2

Dolph, Bosely Laura. "Applications of elementary submodels in topology." View abstract, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3372301.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Bailey, Bradley S. "I-weight, special base properties and related covering properties." Auburn, Ala., 2005. http://repo.lib.auburn.edu/2005%20Fall/Dissertation/BAILEY_BRADLEY_37.pdf.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Price, Ray Hampton. "The property B(P,[alpha])-refinability and its relationship to generalized paracompact topological spaces." Diss., Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/49871.

Full text
Abstract:
The property B(P,∝)-refinability is studied and is used to obtain new covering characterizations of paracompactness, collectionwise normality, subparacompactness, d-paracompactness, a-normality, mesocompactness, and related concepts. These new characterizations both generalize and unify many well-known results. The property B(P,∝)-refinability is strictly weaker than the property Θ-refinability. A B(P,∝)-refinement is a generalization of a σ-locally finite-closed refinement. Here ∝ is a fixed ordinal which dictates the number of "levels" in a given refinement, and P represents a property suc
APA, Harvard, Vancouver, ISO, and other styles
5

Kolat, Alycia M. "Topological Function Spaces." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1314380881.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Al, Mahrouqi Sharifa. "Compact topological spaces inspired by combinatorial constructions." Thesis, University of East Anglia, 2013. https://ueaeprints.uea.ac.uk/43361/.

Full text
Abstract:
Due to Mrówka [24], polyadic spaces are compact Hausdorff spaces that are continuous images of some power of the one point compactification αλ of a discrete space λ. It turns out that many results about polyadic spaces hold for a more general class spaces, as we shall show in this thesis. For a sequence ‾λ = {λᵢ:iΕI} of cardinals, a compact Hausdorff space X is λ‾-multiadic if it is a continuous image of Πᵢ_ΕIαλᵢ. It is easy to observe that a λ‾-multiadic space is λ-polyadic, but whether the converse is true is a motivation of this dissertation. Although the individual polyadic and multiadic
APA, Harvard, Vancouver, ISO, and other styles
7

Pinchuck, Andrew. "Extension theorems on L-topological spaces and L-fuzzy vector spaces." Thesis, Rhodes University, 2002. http://hdl.handle.net/10962/d1005219.

Full text
Abstract:
A non-trivial example of an L-topological space, the fuzzy real line is examined. Various L-topological properties and their relationships are developed. Extension theorems on the L-fuzzy real line as well as extension theorems on more general L-topological spaces follow. Finally, a theory of L-fuzzy vector spaces leads up to a fuzzy version of the Hahn-Banach theorem.
APA, Harvard, Vancouver, ISO, and other styles
8

Miller, David. "Homotopy theory for stratified spaces." Thesis, University of Aberdeen, 2010. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=158352.

Full text
Abstract:
There are many different notions of stratified spaces. This thesis concerns homotopically stratified spaces. These were defined by Frank Quinn in his paper Homotopically Stratified Sets ([16]). His definition of stratified space is very general and relates strata by “homotopy rather than geometric conditions”. This makes homotopically stratified spaces the ideal class of stratified spaces on which to define and study stratified homotopy theory. In the study of stratified spaces it is useful to examine spaces of popaths (paths which travel from lower strata to higher strata) and holinks (those
APA, Harvard, Vancouver, ISO, and other styles
9

Lamont, Julie. "Total negation in general topology and in ordered topological spaces." Thesis, Queen's University Belfast, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.334503.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Chishwashwa, Nyumbu. "Pairings of Binary reflexive relational structures." Thesis, University of the Western Cape, 2008. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_7126_1256734489.

Full text
Abstract:
<p>The main purpose of this thesis is to study the interplay between relational structures and topology , and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between the categories of topological spaces, closure spaces and relational structures. We study the 4-point non-Hausdorff model S4 weakly homotopy equivalent to the circle S1. We study pairings of some objects in the category of relational structures similar to the multiplication S4 x S4- S4 S4 fails to be order preserving for posets. Nevertheless, applying a single barycentr
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Compact spaces. Topological spaces. Topology"

1

Topological methods in Euclidean spaces. Dover Publications, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

James, I. M. Topological and uniform spaces. Springer-Verlag, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Arthur, Seebach J., ed. Counterexamples in topology. Dover Publications, 1995.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Nagata, Jun-iti. Modern general topology. 2nd ed. North-Holland, 1985.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Teleiko, A. Categorical topology of compact Hausdorff spaces. Edited by Zarichnyi M. VNTL Publishers, 1999.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

A, Sutherland W. Introduction to metric and topological spaces. 2nd ed. Oxford University Press, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Introduction to metric and topological spaces. 2nd ed. Oxford University Press, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

1953-, Ntantu Ibula, ed. Topological properties of spaces of continuous functions. Springer-Verlag, 1988.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Barmak, Jonathan A. Algebraic topology of finite topological spaces and applications. Springer, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Barmak, Jonathan A. Algebraic Topology of Finite Topological Spaces and Applications. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22003-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Compact spaces. Topological spaces. Topology"

1

Voigt, Jürgen. "Initial Topology, Topological Vector Spaces, Weak Topology." In Compact Textbooks in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-32945-7_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Singh, Tej Bahadur. "Topological Spaces." In Introduction to Topology. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-6954-4_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Buskes, Gerard, and Arnoud van Rooij. "Transition to Topology." In Topological Spaces. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0665-1_11.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

James, I. M. "Compact Spaces." In Topological and Uniform Spaces. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4716-6_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Adamson, Iain T. "Topological Spaces." In A General Topology Workbook. Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-0-8176-8126-5_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Buskes, Gerard, and Arnoud van Rooij. "What Topology Is About." In Topological Spaces. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0665-1_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Naber, Gregory L. "Topological Spaces." In Topology, Geometry, and Gauge Fields. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4757-2742-5_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Waldmann, Stefan. "Topological Spaces and Continuity." In Topology. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09680-3_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Waldmann, Stefan. "Construction of Topological Spaces." In Topology. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09680-3_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Waldmann, Stefan. "Convergence in Topological Spaces." In Topology. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09680-3_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Compact spaces. Topological spaces. Topology"

1

Parimala, M., D. Arivuoli, R. Perumal та S. Krithika. "nIαg-Compact spaces and nIαg-Lindelof spaces in nano ideal topological spaces". У 1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2020. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0025274.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Kalaivani, N., D. Saravanakumar та T. Gunasekar. "Operation-connected spaces, compact spaces with α(γ,γ′) - Open sets in topological spaces". У THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5112210.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Feledziak, Krzysztof. "Weakly compact operators on Köthe-Bochner spaces with the mixed topology." In Function Spaces VIII. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc79-0-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Xiao, Yan, Bingxin Wang, and Hui Sun. "Quantitative analysis of the topologic morphology of urban street network based on system coupling theory." In Post-Oil City Planning for Urban Green Deals Virtual Congress. ISOCARP, 2020. http://dx.doi.org/10.47472/eogp1958.

Full text
Abstract:
Researchers are increasingly paying attention to urban morphology to address problems regarding urban form and to sustain the development of urban economy, society, and environments. A preliminary research framework was built to conduct coupling analyses on street form and block functions. These analyses are implemented using a planar graph method and using quantitative descriptions of the urban streets functions, but the coupling relation of street morphology and block function cannot be well defined, and it often cannot be analyzed in multi-level and multi-scale. Along with two proposed meas
APA, Harvard, Vancouver, ISO, and other styles
5

Aquilué, Inés, Estanislao Roca, and Javier Ruiz. "Topological analysis of contemporary morphologies under conflict: The urban transformation of Dobrinja in Sarajevo and the Central District of Beirut." In 24th ISUF 2017 - City and Territory in the Globalization Age. Universitat Politècnica València, 2017. http://dx.doi.org/10.4995/isuf2017.2017.6167.

Full text
Abstract:
Regarding topological interpretation of space, this research aims to identify urban morphologies, whose topology becomes increasingly determining under high uncertainty. This topological approach has been applied in an evolutionary analysis of urban spaces under siege, fear and conflict, which conducted to the construction of a specific method. This method analyses the transformation of urban areas in five consecutive phases: urban form [1], increase of uncertainty [2], application of the apparatus [3], change in urban form [4], information flows [5]. These five phases were applied to differen
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography