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Displaying similar documents to “On minimal strongly KC-spaces”

Minimal K C -spaces are countably compact

Theodoros Vidalis (2004)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we show that a minimal space in which compact subsets are closed is countably compact. This answers a question posed in [1].

Spaces in which compact subsets are closed and the lattice of T 1 -topologies on a set

Ofelia Teresa Alas, Richard Gordon Wilson (2002)

Commentationes Mathematicae Universitatis Carolinae

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We obtain some new properties of the class of KC-spaces, that is, those topological spaces in which compact sets are closed. The results are used to generalize theorems of Anderson [1] and Steiner and Steiner [12] concerning complementation in the lattice of T 1 -topologies on a set X .