×

zbMATH — the first resource for mathematics

Some properties of the topology of \(\alpha\) -sets. (English) Zbl 0546.54003
A subset B of a topological space (X,\({\mathcal T})\) is called an \(\alpha\) - set if \(B\subset int(cl(int B))\). The family \({\mathcal T}^{\alpha}\) of all \(\alpha\) -sets in (X,\({\mathcal T})\) is a topology on X. The author considers some properties of this topology \({\mathcal T}^{\alpha}\), and how these relate to the topology \({\mathcal T}\).
Reviewer: I.L.Reilly

MSC:
54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
54A05 Topological spaces and generalizations (closure spaces, etc.)
PDF BibTeX XML Cite