Results 11 to 20 of about 637 (140)
On n-fold hyperspaces of continua
Glasnik matematički, 2009 We continue our study of n-fold hyperspaces and n-fold hyperspace suspensions.
Macias, Sergio, Sergio Macías
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On the n-fold pseudo-hyperspace suspensions of continua
Glasnik matematički, 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
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Comparing n-fold and m-fold hyperspaces
Topology and its Applications, 2003 Let X be a metric continua. Let Cn(X) be the hyperspace of nonempty closed subsets of X with at most n components. In this paper we suppose that Cn(X) is finite-dimensional, Cn(X) is homeomorphic to Cm(Y) and n⩽m.
Illanes, Alejandro
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Various types of local connectedness in n-fold hyperspaces
Topology and its Applications, 2007 Let X be a continuum.
Macías, Sergio, Nadler, Sam B.
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Induced mappings between quotient spaces of n-fold hyperspaces of continua
Glasnik matematički, 2016 For a continuum X the hyperspace of nonempty closed subsets of X with at most n components is called the n-fold hyperspace Cn(X) and if m < n then Cm(X) ⊂ Cn(X) so it is possible to form a quotient space Cn(X)/Cm(X) identifying the set Cm(X) to a point ...
Capulín, Félix +7 more
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On the hyperspace $C_n(X)/{C_n}_K(X)$ [PDF]
, 2021 summary:Let $X$ be a continuum and $n$ a positive integer. Let $C_n(X)$ be the hyperspace of all nonempty closed subsets of $X$ with at most $n$ components, endowed with the Hausdorff metric.
Anaya, José G. +2 more
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Quotients of n-fold hyperspaces
Topology and its Applications, 2016 Given a continuum \(X\) and an integer \(n\geq 2\), let \({{C}_{n}}\left( X \right)\) be the \(n\)-fold hyperspace of \(X\) consisting of nonempty closed subsets of \(X\) with at most \(n\) components. We consider the quotient space \(C_{1}^{n}\left( X \right)={{C}_{n}}\left( X \right)/C{}_{1}\left( X \right)\), with the quotient topology. Let \(q_{X}^{
MacÃas, Sergio, Camargo, Javier
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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
Framed continua have unique n-fold hyperspace suspension
Topology and its Applications, 2015 For a metric continuum \(X\), let \(C_n(X)\) denote the hyperspace of nonempty closed subsets of \(X\) with at most \(n\) components and let \(F_n(X)\) denote the hyperspace of nonempty subsets of \(X\) with at most \(n\) points, both equipped with the Hausdorff metric.
Herrera-Carrasco, David +2 more
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Topology and its Applications, 2015 Abstract We study 1 2 -homogeneity of the n-fold hyperspace suspension of continua. We prove that if X is a decomposable continuum and its n-fold hyperspace suspension is 1 2 -homogeneous, then X must be continuum chainable. We also characterize 1 2 -homogeneity of the hyperspace suspension for several classes of continua ...
Sergio Macías +1 more
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