Relevant bibliographies by topics / Topology. Hyperspace

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

Academic literature on the topic 'Topology. Hyperspace'

Author: Grafiati
Published: 4 June 2021
Last updated: 9 February 2022

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Journal articles on the topic "Topology. Hyperspace"

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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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Constantini, Camillo, and Wieslaw Kubís. "Paths in hyperspaces." Applied General Topology 4, no. 2 (October 1, 2003): 377. http://dx.doi.org/10.4995/agt.2003.2040.

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<p>We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost convex metric space, is an absolute retract. Dense subspaces of normed linear spaces are examples of, not necessarily connected, almost convex metric spaces. We give some necessary conditions for the path-wise connectedness of the Hausdorff metric topology on closed bounded sets. Finally, we describe properties of a separable metric space, under which its hyperspace with the Wijsman topology is path-wise connected.</p>
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Illanes, Alejandro, and Verónica Martı́nez-de-la-Vega. "Product topology in the hyperspace of subcontinua." Topology and its Applications 105, no. 3 (August 2000): 305–17. http://dx.doi.org/10.1016/s0166-8641(99)00065-6.

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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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Naimpally, S. A., and P. L. Sharma. "Fine uniformity and the locally finite hyperspace topology." Proceedings of the American Mathematical Society 103, no. 2 (February 1, 1988): 641. http://dx.doi.org/10.1090/s0002-9939-1988-0943098-9.

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Hu, Thakyin, and Jen-Chun Fang. "Weak topology and Browder–Kirk's theorem on hyperspace." Journal of Mathematical Analysis and Applications 334, no. 2 (October 2007): 799–803. http://dx.doi.org/10.1016/j.jmaa.2006.12.078.

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Acosta, Gerardo. "Continua with almost unique hyperspace." Topology and its Applications 117, no. 2 (January 2002): 175–89. http://dx.doi.org/10.1016/s0166-8641(01)00018-9.

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Camargo, Javier, and Sergio Macías. "Embedding suspensions into hyperspace suspensions." Topology and its Applications 160, no. 10 (June 2013): 1115–22. http://dx.doi.org/10.1016/j.topol.2013.05.005.

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Vroegrijk, Tom. "Bornological modifications of hyperspace topologies." Topology and its Applications 161 (January 2014): 330–42. http://dx.doi.org/10.1016/j.topol.2013.10.035.

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García-Ferreira, S., and Y. F. Ortiz-Castillo. "The hyperspace of convergent sequences." Topology and its Applications 196 (December 2015): 795–804. http://dx.doi.org/10.1016/j.topol.2015.05.022.

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Dissertations / Theses on the topic "Topology. Hyperspace"

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Freeman, Jeannette Broad. "Hyperspace Topologies." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc2902/.

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In this paper we study properties of metric spaces. We consider the collection of all nonempty closed subsets, Cl(X), of a metric space (X,d) and topologies on C.(X) induced by d. In particular, we investigate the Hausdorff topology and the Wijsman topology. Necessary and sufficient conditions are given for when a particular pseudo-metric is a metric in the Wijsman topology. The metric properties of the two topologies are compared and contrasted to show which also hold in the respective topologies. We then look at the metric space R-n, and build two residual sets. One residual set is the collection of uncountable, closed subsets of R-n and the other residual set is the collection of closed subsets of R-n having n-dimensional Lebesgue measure zero. We conclude with the intersection of these two sets being a residual set representing the collection of uncountable, closed subsets of R-n having n-dimensional Lebesgue measure zero.
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Varagona, Scott Smith Michel. "Inverse limit spaces." Auburn, Ala, 2008. http://hdl.handle.net/10415/1486.

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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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Hadj-Moussa, Arab Meriem. "Topologies sur les hyper-espaces. Consonance et hyperconsonance." Rouen, 1995. http://www.theses.fr/1995ROUES018.

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Cette thèse se subdivise en trois chapitres. Le premier chapitre est un rappel sur différentes topologies classiques sur les hyper-espaces de Fermes. Citons parmi d'autres la topologie de Hausdorff pour les espaces métriques, la topologie de Vietoris, celle de Fell et celle de la convergence. Certains résultats complètent ceux de la monographie de E. Klein et A. Thompson. Le deuxième chapitre représente la partie originale de la thèse. Elle concerne l'étude de la coïncidence de la topologie co-compacte et la topologie supérieure de Kuratowski (consonance), et la coïncidence de la topologie de Fell et la topologie de la convergence (l'hyperconsonance). Il est aussi établi dans le cadre des espaces-points de type A (un espace-point est un espace séparé dénombrable ayant exactement un point limite), le rapport entre consonance et hyperconsonance. Le troisième chapitre est une étude des hyper-espaces de Fermes d'espaces métriques. On détaille les résultats de G. Beer sur les rapports entre la topologie de Fell, la topologie de Boule, les topologies classiques sur l'ensemble des fonctions distances et les limites de suites ordinaires de Fermes au sens de Kuratowski
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Sánchez, Álvarez José Manuel. "Semi-lipschitz functions, best approximation, and fuzzy quasi-metric hyperspaces." Doctoral thesis, Universitat Politècnica de València, 2009. http://hdl.handle.net/10251/5769.

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En los últimos años se ha desarrollado una teoría matemática que permite generalizar algunas teorías matemáticas clásicas: hiperespacios, espacios de funciones, topología algebraica, etc. Este hecho viene motivado, en parte, por ciertos problemas de análisis funcional, concentración de medidas, sistemas dinámicos, teoría de las ciencias de la computación, matemática económica, etc. Esta tesis doctoral está dedicada al estudio de algunas de estas generalizaciones desde un punto de vista no simétrico. En la primera parte, estudiamos el conjunto de funciones semi-Lipschitz; mostramos que este conjunto admite una estructura de cono normado. Estudiaremos diversos tipos de completitud (bicompletitud, right k-completitud, D-completitud, etc), y también analizaremos cuando la casi-distancia correspondiente es balanceada. Además presentamos un modelo adecuado para el computo de la complejidad de ciertos algoritmos mediante el uso de normas relativas. Esto se consigue seleccionando un espacio de funciones semi-Lipschitz apropiado. Por otra parte, mostraremos que estos espacios proporcionan un contexto adecuado en el que caracterizar los puntos de mejor aproximación en espacios casi-métricos. El hecho de que varias hipertopologías hayan sido aplicadas con éxito en diversas áreas de Ciencias de la Computación ha contribuido a un considerable aumento del interés en el estudio de los hiperespacios desde un punto de vista no simétrico. Así, en la segunda parte de la tesis, estudiamos algunas condiciones de mejor aproximación en el contexto de hiperespacios casi-métricos. Por otro lado, caracterizamos la completitud de un espacio uniforme usando la completitud de Sieber-Pervin, la de Smyth y la D-completitud de su casi-uniformidad superior de Hausdorff-Bourbaki, definida en los subconjuntos compactos no vacíos. Finalmente, introducimos dos nociones de hiperespacio casi-métrico fuzzy.
Sánchez Álvarez, JM. (2009). Semi-lipschitz functions, best approximation, and fuzzy quasi-metric hyperspaces [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/5769
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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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Books on the topic "Topology. Hyperspace"

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Beer, Gerald Alan. Topologies on closed and closed convex sets. Dordrecht: Kluwer Academic Publishers, 1993.

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Book chapters on the topic "Topology. Hyperspace"

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Zhang, Meili, Qiong Qin, and Weili Liu. "Density and Character of Hyperspace $$2^{X}$$ with the Locally Finite Topology." In Advances in Intelligent Automation and Soft Computing, 579–84. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81007-8_65.

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Todorcevic, Stevo. "Hyperspaces." In Topics in Topology, 121–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0096299.

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Wicks, Keith R. "Nonstandard development of the vietoris topology." In Fractals and Hyperspaces, 13–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0089159.

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Gutev, Valentin. "Selections and Hyperspaces." In Recent Progress in General Topology III, 535–79. Paris: Atlantis Press, 2013. http://dx.doi.org/10.2991/978-94-6239-024-9_12.

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"Hyperspace Topologies." In Topology with Applications, 209–17. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814407663_0013.

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"5 Hyperspace Topologies." In Proximity Approach to Problems in Topology and Analysis, 61–86. München: Oldenbourg Verlag, 2009. http://dx.doi.org/10.1524/9783486598605.61.

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Holá, L'ubica, and Jan Pelant. "Recent Progress in Hyperspace Topologies." In Recent Progress in General Topology II, 253–85. Elsevier, 2002. http://dx.doi.org/10.1016/b978-044450980-2/50010-8.

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Mizokami, Takemi, and Norihito Shimane. "Hyperspaces." In Encyclopedia of General Topology, 49–52. Elsevier, 2003. http://dx.doi.org/10.1016/b978-044450355-8/50014-3.

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Illanes, Alejandro. "Hyperspaces of continua." In Open Problems in Topology II, 279–88. Elsevier, 2007. http://dx.doi.org/10.1016/b978-044452208-5/50032-6.

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Gutev, Valentin, and Tsugunori Nogura. "Selection problems for hyperspaces." In Open Problems in Topology II, 161–70. Elsevier, 2007. http://dx.doi.org/10.1016/b978-044452208-5/50017-x.

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Conference papers on the topic "Topology. Hyperspace"

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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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You might also be interested in the extended bibliographies on the topic 'Topology. Hyperspace' for particular source types:
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