Results 91 to 100 of about 3,669 (222)
On the (n,m)-fold hyperspace suspension of a continuum
, 2023 "Throughout the years, the study of hyperspaces has acquired a notorious importance within the theory of continua. Recall that a continuum X is a nonempty connected, compact and metric space, and a hyperspace of a continuum is family of closed subsets of
Hernández Valdez, Gerardo
core
Strong chain transitivity in hyperspaces of uniform spaces
Applied General TopologyWe apply topological definitions of strong chain transitivity and characterizetopological strong chain transitivity for the induced maps on hyperspaces ofuniform spaces.
Nooshin Darban Maghami +2 more
doaj +1 more source
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
doaj +1 more source
Rocky Mountain Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
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
doaj +1 more source
Whitney blocks in the hyperspace of a finite graph [PDF]
, 1995 summary:Let $X$ be a finite graph. Let $C(X)$ be the hyperspace of all nonempty subcontinua of $X$ and let $\mu :C(X)\rightarrow \Bbb R$ be a Whitney map.
Illanes, Alejandro
core
On the n-fold pseudo-hyperspace suspensions of continua
, 2008 Let X be a (metric) continuum. Let n be a positive integer, let Cn(X) denote the space of all nonempty closed subsets of X with at most n components and let F1(X) denote the space of singletons.
Macias, Juan Carlos, Juan Carlos Macias
core +1 more source
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
doaj +1 more source
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
openaire +3 more sources
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
openaire +1 more source