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On almost continuity and expansion of open sets. (English) Zbl 1056.54017
Summary: Further properties of almost continuous functions are given in this paper. The concept of semi-boundary of a set is introduced and is used to give a sufficient condition for continuity which involves almost continuity. Using expansion of open sets, it is shown that continuity can be decomposed with almost continuity as a factor.
MSC:
54C08 Weak and generalized continuity
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54C05 Continuous maps
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