Results 41 to 50 of about 97 (83)
Uniqueness of hyperspaces of indecomposable arc continua
Glasnik matematički, 2014 Given a metric continuum X, we consider the hyperspace Cn(X) of all nonempty closed subsets of X with at most n components. In this paper we prove that if n≠ 2, X is an indecomposable continuum such that all its proper nondegenerate subcontinua are arcs and Y is a continuum such that Cn(X) is homeomorphic to Cn(Y), then X is homeomorphic to Y (that is,
Hernández-Gutiérrez, Rodrigo +2 more
openaire +2 more sources
Continua whose hyperspace and suspension are homeomorphic
General Topology and its Applications, 1978 AbstractLet X be a (nonempty metric) continuum. By the hyperspace of X we mean C(X)={A:A is a nonempty subcontinuum of X} with the Hausdorff metric. The suspension S(X) of X is the quotient space (X×[-1, +1])R, where X×[-1, +1] is the cartesian product of X and the closed interval [-1, +1] and R is the equivalence relation given by: (x1, t1)R(x2, t2 ...
Nadler, Sam B., Quinn, J.
openaire +2 more sources
On continua whose hyperspace of subcontinua is σ-locally connected
Topology and its Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krzemińska, Iwona, Prajs, Janusz R.
openaire +1 more source
A note regarding “contractibility”, “contractibility with respect to” and “contractibility in”
Revista IntegraciónIn this article, we present a comparative study of the concepts of contractibility, contractibility with respect to, and contractibility in, applied in topological spaces and in hyperspaces of continua.
Félix Capulín +2 more
doaj
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.
openaire +2 more sources
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
openaire +3 more sources
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
openaire +2 more sources
Non-metric Rim-metrizable continua and unique hyperspace
Publications de l'Institut Mathematique, 2003 A class A of continua is said to be C-determined provided that if X, Y e A and C(X) homeomorphic C(Y), then X mhomeomorphic Y. A continuum X has unique hyperspace provided that if Y is a continuum and C(X) homeomorphic to C(Y), then X homeomorphic to Y.
openaire +4 more sources
Continua Whose Cone and Hyperspace are Homeomorphic [PDF]
Transactions of the American Mathematical Society, 1977 openaire +1 more source