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\(\alpha\)-continuous and \(\alpha\)-open mappings. (English) Zbl 0534.54006
A subset S of a topological X is called an \(\alpha\)-set if \(S\subset int(cl(int S))\). A mapping f:\(X\to Y\) is called \(\alpha\)-continuous if the inverse image of each open set in Y is an \(\alpha\)-set in X and \(\alpha\)-open if the image of each open set in X is an \(\alpha\)-set in Y. This paper studies these classes of mappings, and especially their relationships with other classes of mappings.
Reviewer: I.L.Reilly

MSC:
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54A05 Topological spaces and generalizations (closure spaces, etc.)
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