AbstractWe investigate connected partitions of continua into compacta. In particular, we consider continua with property that every connected partition into compacta is compact. We characterize graphs which have this property as the trees and the simple closed curve. Dendrites are shown to have the property. An example of a nonlocally connected continuum with the property is also given
For each positive ordinal α, the reflexive and transitive binary relation of α-dominance between com...
AbstractA connectification of a topological space X is a connected Hausdorff space that contains X a...
AbstractWe study the dynamic interrelation between compactness and connectedness in topological grou...
AbstractWe investigate connected partitions of continua into compacta. In particular, we consider co...
AbstractConnected subsets of dendrites and ones which are locally compact are characterized in the p...
We present a nonstandard characterization of connected compact sets. (C) 2010 WILEY-VCH Verlag GmbH ...
AbstractWe show that S4 spaces in the sense of Michael are dendrites. The proof involves functions w...
For a metric space X, we denote the hyperspaces of nonempty closed subsets, closed connected subsets...
For a metric space X, we denote the hyperspaces of nonempty closed subsets, closed connected subsets...
By a compactum we mean a compact subset of a metric space and by a continuum we mean a connected com...
By a compactum we mean a compact subset of a metric space and by a continuum we mean a connected com...
AbstractWe give a sufficient condition for a general class of continua to be remainders of a space X...
AbstractA topological space is said to have a restricted compactness property if every cover of it b...
A continuum is an arboroid if it is hereditarily unicoherent and arcwise connected. A metric arboroi...
AbstractLet Z be a metric continuum and n be a positive integer. Let Cn(Z) be the hyperspace of the ...
For each positive ordinal α, the reflexive and transitive binary relation of α-dominance between com...
AbstractA connectification of a topological space X is a connected Hausdorff space that contains X a...
AbstractWe study the dynamic interrelation between compactness and connectedness in topological grou...
AbstractWe investigate connected partitions of continua into compacta. In particular, we consider co...
AbstractConnected subsets of dendrites and ones which are locally compact are characterized in the p...
We present a nonstandard characterization of connected compact sets. (C) 2010 WILEY-VCH Verlag GmbH ...
AbstractWe show that S4 spaces in the sense of Michael are dendrites. The proof involves functions w...
For a metric space X, we denote the hyperspaces of nonempty closed subsets, closed connected subsets...
For a metric space X, we denote the hyperspaces of nonempty closed subsets, closed connected subsets...
By a compactum we mean a compact subset of a metric space and by a continuum we mean a connected com...
By a compactum we mean a compact subset of a metric space and by a continuum we mean a connected com...
AbstractWe give a sufficient condition for a general class of continua to be remainders of a space X...
AbstractA topological space is said to have a restricted compactness property if every cover of it b...
A continuum is an arboroid if it is hereditarily unicoherent and arcwise connected. A metric arboroi...
AbstractLet Z be a metric continuum and n be a positive integer. Let Cn(Z) be the hyperspace of the ...
For each positive ordinal α, the reflexive and transitive binary relation of α-dominance between com...
AbstractA connectification of a topological space X is a connected Hausdorff space that contains X a...
AbstractWe study the dynamic interrelation between compactness and connectedness in topological grou...
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