M.E. Abd El-Monsef,A.M. Kozae,A.A.Abo Khadra.Co-RS-紧拓扑(英文)[J].数学研究及应用,1993,13(1):21~25
Co-RS-紧拓扑(英文)
Co-RS-cornpact Topologies
投稿时间:1991-08-19  
DOI:10.3770/j.issn:1000-341X.1993.01.003
中文关键词:  
英文关键词:
基金项目:
作者单位
M.E. Abd El-Monsef Dept. of Math.
Faculty of Science
Tanta Univ.
Egypt. 
A.M. Kozae Dept. of Math.
Faculty of Science
Tanta Univ.
Egypt. 
A.A.Abo Khadra Dept. of Math.
Faculty of Science
Tanta Univ.
Egypt. 
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中文摘要:
      
英文摘要:
      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.
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