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Abstract For a T 0 -space X and the set Γ ( X ) of all closed subsets of X, the d-closure of all point closures of X in Γ… Click to show full abstract
Abstract For a T 0 -space X and the set Γ ( X ) of all closed subsets of X, the d-closure of all point closures of X in Γ ( X ) endowed with the lower Vietoris topology is called the standard D-completion of X. In this paper, by introducing the notion of a tapered set, we present a direct characterization of the D-completion: the set of all tapered closed subsets of X endowed with the lower Vietoris topology is exactly the standard D-completion of X.
Keywords:
direct characterization;
space;
completion;
topology;
characterization monotone
Journal Title: Topology and its Applications
Year Published: 2017
Link to full text (if available)
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Journal Title: Topology and its Applications
Year Published: 2017
Link to full text (if available)
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recommendations!