Results 11 to 20 of about 97 (83)
Hyperspaces of continua with connected boundaries in π-Euclidean Peano continua [PDF]
Topology and its Applications, 2020 Let $X$ be a nondegenerate Peano unicoherent continuum. The family $CB(X)$ of proper subcontinua of $X$ with connected boundaries is a $G_δ$-subset of the hyperspace $C(X)$ of all subcontinua of $X$. If every nonempty open subset of $X$ contains an open subset homeomorphic to $\mathbb R^n$ (such space is called $π$-$n$-Euclidean) and $2\le ...
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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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Growth hyperspaces of Peano continua [PDF]
Transactions of the American Mathematical Society, 1978 For X a nondegenerate Peano continuum, let 2 X
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Uniqueness of hyperspaces for Peano continua
Rocky Mountain Journal of Mathematics, 2013 For a continuum (i.e., a nondegenerate compact connected metric space) \(X\) and a positive integer \(n\), let \(C_n (X)\) denote the space of all nonempty closed subsets of \(X\) with at most \(n\) components, whose topology is endowed with the Hausdorff metric. A continuum \(X\) is said to have unique hyperspace \(C_n(X)\) provided that the following
Hernández-Gutiérrez, Rodrigo +2 more
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On the property of kelley in the hyperspace and Whitney continua
Topology and its Applications, 1988 A (metric) continuum X is said to have property K if for each subcontinuum A of X, each point a in A and for each positive \(\epsilon\) there exists a positive \(\delta\) such that if b is a point of X at the distance \(
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On the n-fold hyperspace suspension of continua
Topology and its Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Plant Genome, Volume 19, Issue 3, September 2026.Abstract Bacterial wilt, caused by Ralstonia spp., poses a major threat to blueberry (Vaccinium corymbosum) production due to its persistence and rapid spread through soil and infected stock, highlighting the need for genetic insights to guide breeding strategies. This study investigated the genetic basis of bacterial wilt resistance in blueberry using
Lushan Ghimire +7 more
wiley +1 more source