Results 51 to 60 of about 97 (83)
The midpoint hyperspace on continua
Topology and its ApplicationsMauricio Chacón-Tirado +2 more
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Hyperspace of continua: history, advances and challenges
, 2019 En este trabajo se expone de manera general la historia del estudio de los hiperespacios de continuos, algunos resultados importantes obtenidos de manera reciente y se mencionan algunas preguntas abiertas.
Olano Diaz, William César +1 more
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Whitney continua in the hyperspaceC(X) [PDF]
Pacific Journal of Mathematics, 1975 openaire +3 more sources
On dynamics on the hyperspace of continua in dimension one
Whenever we are given a selfmap \(f\) of a compact metric space \(X\), we can associate with it the induced mappings \(\bar{f}\) and \(\tilde{f}\) on the hyperspace \(2^X\) of compact subsets of \(X\) and the hyperspace \(C(X)\) of continua in \(X\), respectively, both defined in a natural way.
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Topology and Its Applications, 1986 Following the terminology of the author we call a singularity of metric continua singularity R if the continuum contains a certain kind of continua as introduced and studied by \textit{S. T. Czuba} [Bull. Acad. Pol. Sci., Sér. Sci. Math. 27, 299-302 (1979; Zbl 0424.54026)].
Włodzimierz J Charatonik
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On the hyperspaces of hereditarily indecomposable continua [PDF]
Fundamenta Mathematicae, 1974 J Krasinkiewicz
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Hyperspaces of Peano continua are Hubert cubes [PDF]
Fundamenta Mathematicae, 1978 Curtis, D. W., Schori, R. M.
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Hyperspaces of Peano continua of euclidean spaces
Fundamenta Mathematicae, 1993Pour un espace métrique \(X\), soit \(C(X)\) l'espace des sous-continus non vides de \(X\) avec la topologie de Vietoris, et soit \(L(X)\) le sous-espace de \(C(X)\) formé des continus péaniens. Les auteurs montrent que, pour \(n \geq 3\), \(L(\mathbb{R}^ n)\) est homéomorphe au produit dénombrable \(B^ \infty\), où \(B\) est le pseudo-bord du cube de ...
Jan Van Mill
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ON UNICOHERENCE AND CONTRACTIBILITY OF HYPERSPACES OF NONMETRIZABLE CONTINUA
Rocky Mountain Journal of Mathematics, 2023For a Hausdorff continuum (i.e., a nondegenerate compact connected Hausdorff space) \(X\), let \(C (X)\) denote the space of all subcontinua of \(X\) endowed with the Vietoris topology. A metrizable Hausdorff continuum is called a continuum. In this paper, the author discusses generalizations of theorems on unicoherence and contractibility of \(C(X ...
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