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Co-RS-紧拓扑
引用本文:M.E. Abd El-Monsef,A.M. Kozae,A.A.Abo Khadra. Co-RS-紧拓扑[J]. 数学研究及应用, 1993, 13(1): 21-25
作者姓名:M.E. Abd El-Monsef  A.M. Kozae  A.A.Abo Khadra
作者单位:Dept. of Math.; Faculty of Science; Tanta Univ.; Egypt.;Dept. of Math.; Faculty of Science; Tanta Univ.; Egypt.;Dept. of Math.; Faculty of Science; Tanta Univ.; Egypt.
摘    要:A topoogy R(τ) is constructed from a given topology τ on a set X. R(τ) is coarser than τ, and the following are some results based on this topology:1. Continuity and RS-continuity are equivalent if the codomain is retopologized by R(τ).2. Each topological space has a coarser extremely disconnected topology.3. The class of semi-open sets with respect to R(τ) is a topology.4. T2 and semi-T2 properties are equivalent on a space whose topology is R(τ).5. Minimal R0-spaces are RS-compact.6. Maximal a-compact spaces are RS-compact.

收稿时间:1991-08-19

Co-RS-cornpact Topologies
M.E. Abd El-Monsef,A.M. Kozae and A.A.Abo Khadra. Co-RS-cornpact Topologies[J]. Journal of Mathematical Research with Applications, 1993, 13(1): 21-25
Authors:M.E. Abd El-Monsef  A.M. Kozae  A.A.Abo Khadra
Affiliation:Dept. of Math.; Faculty of Science; Tanta Univ.; Egypt.;Dept. of Math.; Faculty of Science; Tanta Univ.; Egypt.;Dept. of Math.; Faculty of Science; Tanta Univ.; Egypt.
Abstract:
Keywords:
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