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Generalized \(\alpha\)-closed sets in topology. (English) Zbl 0888.54005

The aim of this note is to introduce and study the concept of “generalized \(\alpha\)-closed sets” in topological spaces. Moreover, as applications, classes of topological spaces, namely \({}_\alpha T_i\) spaces \((i=0,\frac12,1,m)\), and “generalized \(\alpha\)-continuous maps” are introduced, and a pasting lemma for these mappings is proved.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
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