Co-RS-cornpact Topologies
Received:August 19, 1991  
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Author NameAffiliation
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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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.1993.01.003
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