Results 1 to 10 of about 29,655 (98)
The property of Kelley and continua
Revista Integración, 2019 We study Hausdorff continua with the property of Kelley. We present Hausdorff version of several results known in the metric case. We also establish a weak Hausdorff version of Jones’ Aposyndetic Decomposition Theorem.
Sergio Macías
doaj +8 more sources
Nonblockers for hereditarily decomposable continua with the property of Kelley [PDF]
Topology and Its Applications, 2022 Given a continuum $X$, let $\mathcal{NB} (\mathcal{F}_1(X))$ be the hyperspace of nonblockers of $\mathcal{F}_1(X)$. In this paper, we show that if $X$ is hereditarily decomposable with the property of Kelley such that $\mathcal{NB} (\mathcal{F}_1(X))$ is a continuum, then $X$ is a simple closed curve.
Javier Camargo
exaly +5 more sources
On the property of Kelley for Hausdorff continua
Revista Integración, 2020 We introduce the concepts Hausdorff maximal limit continuum and Hausdorff strong maximal limit continuum, for Hausdorff continua; these definitions extend the concepts of maximal limit continuum and strong maximal limit continuum, respectiveley ...
Mauricio Chacón-Tirado +1 more
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A property equivalent to being semi-Kelley [PDF]
Topology and Its Applications, 2018 We present a property equivalent to the property of being semi-Kelley. Using this equivalence we prove that being semi-Kelley is a hereditary property for atriodic continua. We prove that semi-Kelley remainders are atriodic, moreover, we prove that semi-Kelley continua are semi-Kelley remainders for chainable continua, circularly chainable continua ...
Mauricio Chacón-Tirado
exaly +6 more sources
A homogeneous continuum without the property of Kelley
Topology and Its Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Włodzimierz J Charatonik
exaly +3 more sources
The property of Kelley by arcs
Boletin De La Sociedad Matematica MexicanaAbstractFor a metric continuum X and a point $$p\in X$$ p ∈ X , the hyperspace of arcs in X containing p, Arcs(p, X), is defined as the set containing $$\{p\}$$ { p
Mauricio Chacón-Tirado
exaly +3 more sources
Arc property of Kelley and absolute retracts for hereditarily unicoherent continua [PDF]
Colloquium Mathematicum, 2003 If \({\mathcal K}\) is a class of compact metric spaces, then \(\text{AR}({\mathcal K})\) denotes the family of all absolute retracts for \({\mathcal K}\), i.e. \(K\in\text{AR}({\mathcal K})\) provided that if \(Z\in{\mathcal K}\) contains a homeomorphic copy \(K'\) of \(K\), then \(K'\) is a retract of \(Z\).
Janusz J Charatonik +1 more
exaly +4 more sources
On Dendroids with Kelley's Property [PDF]
Proceedings of the American Mathematical Society, 1988 It is proved that if a dendroid has Kelley’s property, then it is smooth. This is a correction of an error from [ 4 ].
S. Czuba
exaly +4 more sources
Fans with the property of Kelley
Topology and Its Applications, 1988 The authors study the class of fans by proving that fans with the property of Kelley (i.e., for each \(x\in X\), for each sequence \(x_ n\to x\) and for each \(K\in C(x,X)\), there exists a sequence of continua \(K_ n\in C(x_ n,X)\) converging to K) are inverse limits of finite fans with confluent bonding maps.
Charatonik, J.J., Charatonik, W.J.
exaly +4 more sources
Property of Kelley for confluent retractable continua
Topology and Its Applications, 2001 A continuum \(X\) is said to be retractable provided that each subcontinuum of \(X\) is a retract of \(X\). Let \(\mathfrak {M}\) be a class of mappings between continua. If for each subcontinuum \(Y\) of a continuum \(X\) there exists a retraction \(r: X \rightarrow Y\) such that \(r \in \mathfrak {M}\), then \(X\) is said to be \(\mathfrak {M ...
Janusz J Charatonik +2 more
exaly +3 more sources