Results 21 to 30 of about 2,822 (176)

The hyperspaces Cn(X) for finite ray-graphs

Applied General Topology, 2013
In this paper we consider the hyperspace Cn(X) of non-empty and closed subsets of a base space X with up to n connected components. The class of base spaces we consider we call finite ray-graphs, and are a noncompact variation on finite graphs.
Norah Esty
doaj   +1 more source

Hyperspace selections avoiding points

Commentationes Mathematicae Universitatis Carolinae, 2023
In this paper, we deal with a hyperspace selection problem in the setting of connected spaces. We present two solutions of this problem illustrating the difference between selections for the nonempty closed sets, and those for the at most two-point sets. In the first case, we obtain a characterisation of compact orderable spaces.
openaire   +2 more sources

More absorbers in hyperspaces

, 2016
The family of all subcontinua that separate a compact connected $n$-manifold $X$ (with or without boundary), $n\ge 3$, is an $F_\sigma$-absorber in the hyperspace $C(X)$ of nonempty subcontinua of $X$.
Krupski, Paweł, Samulewicz, Alicja
core   +1 more source

Hyperbolizing Hyperspaces

Michigan Mathematical Journal, 2011
The aim of this paper is to establish connections between a metric space \(X\) and the large-scale geometry (in the sense of Gromov) of the hyperspace \(\mathcal H(X)\) of its non-degenerate closed bounded subsets, and to study the mappings on \(X\) in terms of the induced mappings on \(\mathcal H(X)\). The metric space \(X\) can be identified with the
openaire   +3 more sources

Partial actions of groups on hyperspaces

Applied General Topology, 2022
Let X be a compact Hausdorff space. In this work we translate partial actions of X to partial actions on some hyperspaces determined by X, this gives an endofunctor 2- in the category of partial actions on compact Hausdorff spaces which generates a monad
Luis Martínez, Héctor Pinedo Tapia, Edwar Ramirez   +2 more
doaj   +1 more source

Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces

, 2008
Our main result states that the hyperspace of convex compact subsets of a compact convex subset $X$ in a locally convex space is an absolute retract if and only if $X$ is an absolute retract of weight $\le\omega_1$.
Benyamini, Chapman, Chapman, Chigogidze, Chigogidze, Dranishnikov, Dušan Repovš, Lidia Bazylevych, Michael, Michael Zarichnyi, Montejano, Nadler, Nykyforchyn, Pinsker, Shchepin, Shchepin, Toruńczyk, Zarichnyi   +17 more
core   +1 more source

Higher Spin Fields in Hyperspace. A Review

, 2018
We will give an introduction to the so-called tensorial, matrix or hyperspace approach to the description of massless higher-spin fields.Comment: 62 pages, invited review, references and clarifications added, published ...
Sorokin, Dmitri, Tsulaia, Mirian
core   +2 more sources

First countable hyperspaces [PDF]

Proceedings of the American Mathematical Society, 1976
An example is given which shows that the space of compact subsets K ( X ) \mathcal {K}(X) of a first countable space X X need not be first countable in the finite topology.
openaire   +2 more sources

Strong chain transitivity in hyperspaces of uniform spaces

Applied General Topology
We apply topological definitions of strong chain transitivity and characterizetopological strong chain transitivity for the induced maps on hyperspaces ofuniform spaces.
Nooshin Darban Maghami, Seyyed Alireza Ahmadi, Zahra Shabani   +2 more
doaj   +1 more source

Picture fuzzy sub-hyperspace of a hyper vector space and its application in decision making problem

AIMS Mathematics, 2022
In this paper, the notion of picture fuzzy sub-hyperspace of a hyper vector space is introduced and some related results are investigated on the basis of some basic operations (intersection, union, Cartesian product etc.) on picture fuzzy sets.
Shovan Dogra, Madhumangal Pal, Qin Xin
doaj   +1 more source