Results 11 to 20 of about 239 (123)
Growth hyperspaces of Peano continua [PDF]
Transactions of the American Mathematical Society, 1978 For X a nondegenerate Peano continuum, let 2 X
D. W. Curtis
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On n-fold hyperspaces of continua
Glasnik matematički, 2009 We continue our study of n-fold hyperspaces and n-fold hyperspace suspensions. We present more properties of these hyperspaces.
Macias, Sergio, Sergio Macías
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Hyperspaces of Peano and ANR continua
Topology and its Applications, 2001 Given a separable connected locally connected locally compact metric space, \(X\) the author identifies the topology of the pairs \((2^X,\text{ANR}(X))\) and \((C(X),L_c(X))\), where \(2^X\) is the hyperspace of non-empty compact subsets of \(X\), endowed with the Vietoris topology, and \(C(X)\), \(L_c(X)\), \(\text{ANR}(X)\), \(\text{ANR}_c(X)\) are ...
Yagasaki, Tatsuhiko
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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
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The lifting property for classes of mappings
International Journal of Mathematics and Mathematical Sciences, 2000 The lifting property of continua for classes of mappings is defined. It is shown that the property is preserved under the inverse limit operation. The results, when applied to the class of confluent mappings, exhibit conditions under which the induced ...
Janusz J. Charatonik
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Hyperspaces of two-dimensional continua [PDF]
Fundamenta Mathematicae, 1996 In this interesting paper the authors prove that, for each \(n=1,2,\dots\), each two-dimensional metric space \(X\) contains a one-dimensional subcontinuum \(T_n\) such that the hyperspace \(C(T_n)\) of all subcontinua of \(T_n\) has the dimension \(\geq n\). Therefore, \(X\) contains a compact one-dimensional subset \(T\) such that \(\dim C(T)= \infty\
Levin, Michael, Sternfeld, Yaki
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On recurrence and entropy in the hyperspace of continua in dimension one
Fundamenta Mathematicae, 2023 24 pages, 6 ...
Jelić, Domagoj, Oprocha, Piotr
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On the hyperspace ℭ(X) of continua
Tsukuba Journal of Mathematics, 2016 Let X be a continuum. Let C(X) be the hyperspace of all closed, connected and nonempty subsets of X, with the Hausdorff metric. For a mapping f : X → Y between continua, let C(f) : C(X) → C(Y) be the induced mapping by f, given by C(f)(A) = f(A). In this paper we study the hyperspace ℭ(X) = {C(A) : A ∈ C(X)} as a subspace of C(C(X)), and define an ...
Escobedo, R. +2 more
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Whitney levels in hyperspaces of certain Peano continua [PDF]
Transactions of the American Mathematical Society, 1982 Let X X be a Peano continuum. Let
Goodykoontz, Jack T. jun. +1 more
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Shadowing in the hyperspace of continua
NonlinearityAbstract We discuss whether classical examples of dynamical systems satisfying the shadowing property also satisfy the shadowing property for the induced map on the hyperspace of continua, obtaining both positive and negative results.
Bernardo Carvalho, Udayan Darji
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