Between ${\cal A}$- and ${\cal B}$-sets

Julian Dontchev

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arXiv · math/9811002

Between ${\cal A}$- and ${\cal B}$-sets

Julian Dontchev

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Abstract

The aim of this paper is to introduce the class of ${\cal A}{\cal B}$-sets as the sets that are the intersection of an open and a semi-regular set. Several classes of well-known topological spaces are characterized via the new concept. A new decomposition of continuity is provided.

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BibTeX RIS

Julian Dontchev. 1998-11-01. Between ${\cal A}$- and ${\cal B}$-sets. https://arxiv.org/abs/math/9811002

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