zbMATH — the first resource for mathematics

\(\alpha\) r-spaces and some of their properties. (English) Zbl 0597.54002
Summary: In ibid. 33, 249-256 (1983; Zbl 0533.54001) the author has introduced the notion of an r-space and has shown that topological spaces are special cases of r-spaces. It is well known that if X is a topological space, then (1) the closure of the union of two subsets of X is the union of their closures. In the present paper we study r-spaces satisfying properties analogous to (1) for some subsets of X and give some conditions for a decomposition of such r-spaces into topological spaces.
54A05 Topological spaces and generalizations (closure spaces, etc.)
Full Text: EuDML
[1] KELLEY J. L.: General Topology. D. VAN NOSTRAND COMPANY, New York 1955. · Zbl 0066.16604
[2] ZUZČÁK I.: Generalized topological spaces. Math. Slovaca) · Zbl 0533.54001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.