Orthocompactness and semi-stratifiability in the density topology

Julian Dontchev

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arXiv · math/9809069

Orthocompactness and semi-stratifiability in the density topology

Julian Dontchev

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Abstract

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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Julian Dontchev. 1998-09-12. Orthocompactness and semi-stratifiability in the density topology. https://arxiv.org/abs/math/9809069

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