Results 91 to 100 of about 239 (123)
Continua Whose Cone and Hyperspace are Homeomorphic [PDF]
Transactions of the American Mathematical Society, 1977 openaire +1 more source
, 1994 Let X be a metric continuum. Consider the assertions: a) X contains an Ra-continuum, b) The hyperspace C(X) contains an R a-continuum and, c) The hyperspace 2 X contains an R3-continuum.
Alejandro Illanes
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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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The midpoint hyperspace on continua
Topology and its ApplicationsMauricio Chacón-Tirado +2 more
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Whitney continua in the hyperspaceC(X) [PDF]
Pacific Journal of Mathematics, 1975 openaire +3 more sources
Whitney Levels Without Whitney Maps
, 2008 We propose a new definition of a Whitney level that does not require the existence of a Whitney map. This allows to investigate hyperspaces of non-metric continua in a similar way as we investigate metric ones.
Charatonik, W. J.
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$F_\sigma $-absorbing sequences in hyperspaces of subcontinua
, 1993 summary:Let $\Cal D$ denote a true dimension function, i.e., a dimension function such that $\Cal D(\Bbb R^n) = n$ for all $n$. For a space $X$, we denote the hyperspace consisting of all compact connected, non-empty subsets by $C(X)$.
Gladdines, Helma
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Transitivity in induced functions defined on hyperspaces of continua
, 2014 Sean X un espacio métrico compacto y f : X → X una función continua. Diremos que f es transitiva si, para cada U y V abiertos de X diferentes de vacío, existe m ∈ N tal que f m(U) ∩ V ̸= ∅.
García Salcedo, Cristian Giovani
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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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