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Continua which have the property of Kelley hereditarily

open access: yesTopology 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 ...
Alejandro Illanes
exaly   +4 more sources

On the property of kelley in the hyperspace and Whitney continua

open access: yesTopology 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
exaly   +5 more sources

Property of Kelley for the Cartesian products and hyperspaces [PDF]

open access: yesProceedings of the American Mathematical Society, 2007
A continuum X X having the property of Kelley is constructed such that neither
Charatonik, Janusz J.   +1 more
semanticscholar   +6 more sources

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

open access: yesCommentationes 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   +1 more
exaly   +3 more sources

Two Continua Having A Property of J. L. Kelley

open access: yesCanadian Mathematical Bulletin, 1991
AbstractIn proving the contractibility of certain hyperspaces J. L. Kelley identified and defined a certain uniformnessproperty which he called Property 3.2. It is known that the classes of locally connected continua, homogeneous continua and hereditarily indecomposable continua have Property 3.2.
Ingram, W. T., Sherling, D. D.
semanticscholar   +3 more sources

On the Property of Kelley for Hausdorff Continua

open access: yesMathematica Pannonica
We study the property of Kelley and the property of Kelley weakly on Hausdorff continua. We extend results known for metric continua to the class of Hausdorff continua. We also present new results about these properties.
Sergio Macías
openaire   +3 more sources

Property of being semi-Kelley is a sequentially strong Whitney-reversible property

open access: yesTopology and Its Applications, 2018
A continuum X is said to be semi-Kelley provided that for each subcontinuum K and for every two maximal limit continua M and L in K either M ⊂ L or L ⊂ M .
Alicia Santiago-Santos, I. Vidal-Escobar
exaly   +2 more sources

On mapping properties and the property of Kelley

open access: yesMathematical Communications, 2002
Mapping conditions are studied under which a continuum having the property of Kelley has this property hereditarily. The obtained results, related mainly to confluent mappings, extend some known assertions of the subject.
Charatonik, J. J., Janusz J. Charatonik
openaire   +4 more sources

The property of Kelley in nonmetric continua

open access: yesMathematical Communications, 2000
The main purpose of this paper is to study the property of Kelley in nonmetric continua using inverse systems and limits.
Lončar, I.
openaire   +7 more sources

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