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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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