## 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.)