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A property equivalent to being semi-Kelley

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, María de J. López, Ivon Vidal-Escobar   +2 more
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
openaire   +3 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 ].
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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 ...
Charatonik, Janusz J., Charatonik, Włodzimierz J., Illanes, Alejandro   +2 more
openaire   +3 more sources

Property of being semi-Kelley for the cartesian products and hyperspaces [PDF]

Commentationes Mathematicae Universitatis Carolinae, 2017
A continuum \(X\) is said to be \textit{Kelley} provided that for each point \(x\in X\), for each subcontinuum \(K\) of \(X\) containing \(x\) and for each sequence of points \(\{x_n\}\) of \(X\) converging to \(x\) there exists a sequence of subcontinua \(\{K_n\}\) of \(X\) such that for each \(n\in N\), \(x_n\in K_n\) and \(\lim K_n=K\). Let \(K\) be
Castañeda-Alvarado, Enrique, Vidal-Escobar, Ivon   +1 more
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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.
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The property of Kelley by arcs

Boletín de la Sociedad Matemática Mexicana
AbstractFor 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, María de J. López, José Luis Suárez-López   +2 more
openaire   +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 \(Z\).
Charatonik, Janusz J., Charatonik, Włodzimierz J., Prajs, Janusz R.   +2 more
openaire   +4 more sources

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 \(
Hisao Kato
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Continua which have the property of Kelley hereditarily

Topology and its Applications, 2000
A metric continuum \(X\) with a metric \(d\) is said to have the property of Kelley provided that for each point \(x\in X\) and for each \(\varepsilon> 0\) there is a \(\delta>0\) such that if a point \(b\in X\) and a continuum \(A\subset X\) satisfy \(d(a,b)< \delta\) and \(a\in A\), then there exists a continuum \(B\subset X\) containing \(b\) which ...
Acosta, Gerardo, Illanes, Alejandro
openaire   +3 more sources