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\(\beta\)-open sets and \(\beta\)-continuous mapping. (English) Zbl 0577.54008

Bull. Fac. Sci., Sect. A, Assiut Univ. 12, 77-90 (1983).
Summary: We introduce the new topological notions, \(\beta\)-open sets, \(\beta\)- continuous mappings and \(\beta\)-open mappings. The connections between these notions and other existing topological notions are studied. Finally, we study the mapping with \(\beta\)-closed graphs.

MSC:

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