Results 71 to 80 of about 239 (123)
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. The n-fold pseudo-hyperspace suspension of X is the quotient space Cn(X)/F1(X). We present properties of this hyperspace.
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, 2018 This book is a significant companion text to the existing literature on continuum theory. It opens with background information of continuum theory, so often missing from the preceding publications, and then explores the following topics: inverse limits ...
Macías, Sergio
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Smoothness in n-hold hyperspaces
, 2002 We prove that *-smoothness of a homogeneous continuum implies its indecomposability. We define the analogue of *-smoothness for n-fold hyperspaces and investigate its relation to *-smoothness.
Macias, Sergio +3 more
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Filament sets and homogeneous continua
, 2007 New tools are introduced for the study of homogeneous continua. The subcontinua of a given continuum are classified into three types: filament, non-filament, and ample, with ample being a subcategory of non-filament.
Prajs, Janusz R., Whittington, Keith
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Irreducible Continua of Type $\lambda$ with Almost Unique Hyperspace
Rocky Mountain Journal of Mathematics, 2001 For a given continuum \(X\), consider a family \({\mathcal F}(X)\) of continua \(Y\) such that: (i) no two distinct members of \({\mathcal F}(X)\) are homeomorphic, (ii) \(C(Y)\) is homeomorphic to \(C(X)\) for each member \(Y\) of \({\mathcal F}(X)\) (the symbol \(C(X)\) denotes the hyperspace of all subcontinua of \(X\) with the Hausdorff metric ...
Acosta, Gerardo +2 more
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Chainable continua are not C-determined
, 1999 In this paper we show that there are chainable non-homeomorphic continua X and Y such that the respective hyperspaces of subcontinua C(X) and C(Y) are homeomorphic. This answers a question by Sam B.
Illanes, Alejandro
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Making Holes in the Hyperspace of Subcontinua of Some Continua
Advances in Pure Mathematics, 2012 Let be a metric continuum. Let , is said to make a hole in , if is not unico-herent. In this paper, we characterize elements such that makes a hole in , where is either a smooth fan or an Elsa continuum.
José G. Anaya +2 more
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Induced Mappings Between Hyperspaces
, 1998 Given a continuum X we denote by 2x and C(X) the hyperspace of all nonempty compact subsets and of all nonempty sub continua of X. For any two continua X and Y and a mapping f : X -+ Y let 2\u27 and CU) stand for the induced mappings between ...
Charatonik, W. J.
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Inducible Mappings Between Hyperspaces
, 1998 Given a continuum X we denote by 2x and C(X) the hyperspace of all nonempty compact subsets and of all nonempty sub continua of X. For any two continua X and Y and a mapping f : X -+ Y let 2\u27 and CU) stand for the induced mappings between ...
Charatonik, W. J., Charatonik, J. J.
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THE HYPERSPACES C(p, X) FOR ATRIODIC CONTINUA
, 2014 . Let C(X) denote the hyperspace of subcontinua of a continuum X. For A ∈ C(X), define the hyperspace C(A, X) = {B ∈ C(X) : A ⊂ B}. We prove that nondegenerate Whitney levels of C(p, X) are arcs when X is an atriodic continuum and p ∈ X. The main result
Patricia Pellicer-covarrubias +1 more
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