Results 71 to 80 of about 1,845 (184)
Cellular-compact and cellular-Lindelöf on hyperspaces
Researches in MathematicsThe generalized metric properties on hyperspaces with the Pixley-Roy topology and the Vietoris topology have been studied by many authors. They considered several generalized metric properties and studied the relation between a space $X$ satisfying such ...
L.Q. Tuyen, O.V. Tuyen, N.X. Truc
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Rocky Mountain Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Triples of infinite iterations of hyperspaces of max-plus compact convex sets
Pracì Mìžnarodnogo Geometričnogo Centru, 2016 Geometry of the infinite iterated hyperspace of compact max-plus convex sets, their completions and compactifications is investigated.
Александр Григорьевич Савченко +1 more
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Embedding Order Inducible Between Hyperspace
Pesquimat, 2016 Given a set X and denote by C(X) hyperspace all non-empty subcontinuos.
Pedro Contreras +5 more
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Disconnectedness properties of Hyperspaces
, 2011 Let $X$ be a Hausdorff space and let $\mathcal{H}$ be one of the hyperspaces $CL(X)$, $\mathcal{K}(X)$, $\mathcal{F}(X)$ or $\mathcal{F}_n(X)$ ($n$ a positive integer) with the Vietoris topology. We study the following disconnectedness properties for $\mathcal{H}$: extremal disconnectedness, being a $F^\prime$-space, $P$-space or weak $P$-space and ...
Hernández-Gutiérrez, Rodrigo +1 more
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On C -embeddedness of hyperspaces
Topology and its Applications, 2014 \(\mathcal{K}(X)\) is the hyperspace of non-empty closed and compact sets and \(\mathcal{C L}(X)\) is the hyperspace of non-empty closed sets, both endowed with the Vietoris topology. The paper contributes to the solution of the following question: Under which conditions is \(\mathcal{K}(X)\) \(C^{*}\)-embedded in \(\mathcal{C L}(X)\)? In the paper the
Kemoto, N. +2 more
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Applied General Topology, 2008 The subject of hyperspace topologies on closed or closed and compact subsets of a topological space X began in the early part of the last century with the discoveries of Hausdorff metric and Vietoris hit-and-miss topology.
Giuseppe Di Maio +2 more
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Higher Spin Fields in Hyperspace. A Review
Universe, 2018 We give an introduction to the so-called tensorial, matrix or hyperspace approach to the description of massless higher-spin fields.
Dmitri Sorokin, Mirian Tsulaia
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Extension of Hyperspace Selections
, 2023 In 1951, Ernest Michael wrote a definitive seminal article on hyperspaces raising a general question that became known as the hyperspace selection problem. The present paper contains some aspects of this problem, along with several open questions. Most of these considerations and questions are related to the usual map extension problem, but now in the ...
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Clopen sets in hyperspaces [PDF]
Proceedings of the American Mathematical Society, 1976 Let X X be a space and let
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