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Article

Alas, Ofelia T. ; Wilson, Richard G.
Spaces in which compact subsets are closed and the lattice of $T_1$-topologies on a set. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 641-652
MSC: 54A10, 54D10, 54D25, 54D55 | MR 2045786 | Zbl 1090.54015
Keywords:
KC-space; $T_1$-complementary topology; $T_1$-independent; sequential space
Summary:
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 $X$.
References:
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