Co-RS-cornpact Topologies |
Received:August 19, 1991 |
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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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