Orthocompactness and semi-stratifiability in the density topology

Details Orthocompactness and semi-stratifiability in the density topology Orthocompactness and semi-stratifiability in the density topology

1998-09-12

arxiv.org/abs/math/9809069v1

Mathematics

General Topology

8 pages

Scientific paper

The density topology $\cal T$ is a topology on the real line, finer than the
usual topology, having as its open sets the measurable subsets of ${\mathbb
R}$, which are of density 1 at each of their points. The aim of this paper is
to determine which subsets of the density topology are semi-stratifiable,
orthocompact and weakly hereditarily pseudocompact.

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