Abd El-Monsef, M. E.; El-Deeb, S. N.; Mahmoud, R. A. \(\beta\)-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. Cited in 13 ReviewsCited in 135 Documents MSC: 54C10 Special maps on topological spaces (open, closed, perfect, etc.) 54A05 Topological spaces and generalizations (closure spaces, etc.) Keywords:\(\beta \) -open sets; \(\beta \) -continuous mappings; \(\beta \) -open mappings PDFBibTeX XML