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Internal, external boundaries and continuous mappings. (English) Zbl 0783.54011
Summary: The notions of internal and external boundaries are introduced. Four weak forms of continuity are defined: internal, external continuities and internal, external boundary continuities. They compose two related decompositions of continuity: a mapping is continuous if and only if it is internally and externally continuous; a mapping is continuous if and only if it is internally and externally boundary continuous.
54A99 Generalities in topology
54C05 Continuous maps
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