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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.)