Further remarks on KC and related spaces

Angelo Bella; Camillo Costantini

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 $X$ .

Sequential convergence in $C_{p} (X)$

David H. Fremlin (1994)

Commentationes Mathematicae Universitatis Carolinae

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I discuss the number of iterations of the elementary sequential closure operation required to achieve the full sequential closure of a set in spaces of the form $C_{p} (X)$ .

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