Results 71 to 80 of about 245 (181)
Semi separation axioms and hyperspaces
International Journal of Mathematics and Mathematical Sciences, 1981 In this paper examples are given to show that s-regular and s-normal are independent; that s-normal, and s-regular are not semi topological properties; and that (S(X),E(X)) need not be semi-T1 even if (X,T) is compact, s-normal, s-regular, semi-T2, and ...
Charles Dorsett
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Near Fixed Point Theorems in Hyperspaces
Mathematics, 2018 The hyperspace consists of all the subsets of a vector space. It is well-known that the hyperspace is not a vector space because it lacks the concept of inverse element. This also says that we cannot consider its normed structure, and some kinds of fixed
Hsien-Chung Wu
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Topologies on function spaces and hyperspaces
Applied General Topology, 2009 Let Y and Z be two fixed topological spaces, O(Z) the family of all open subsets of Z, C(Y,Z) the set of all continuous maps from Y to Z, and OZ(Y ) the set {f−1(U) : f ϵ C(Y,Z) and U ϵ O(Z)}. In this paper, we give and study new topologies on the sets C(
D.N. Georgiou
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Rocky Mountain Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Uniformizable and realcompact bornological universes
Applied General Topology, 2009 Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory.
Tom Vroegrijk
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Some remarks on Pixley-Roy hyperspaces
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiênIn this paper, we study cellular-compact, cellular-Lindel\"of, strongly star-Hurewicz, strongly star-Rothberger, strongly star-Menger spaces on hyperspaces with the Pixley-Roy topology.
Quoc Tuyen Luong +2 more
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On representation of semigroups of inclusion hyperspaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 Given a group $X$ we study the algebraic structure of the compact right-topological semigroup $G(X)$ consisting of inclusion hyperspaces on $X$. This semigroup contains the semigroup $\lambda(X)$ of maximal linked systems as a closed subsemigroup.
V. M. Gavrylkiv
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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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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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