摘 要: | A topoogy R(r)is constructed from a given topology r on a set X.R(r)iscoarser than r,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 spase has a coarser extremely disconnected topology3.The class of semi-open sets with respect to R(r)is a topology4.T_2 and semi-T_2 properties are equivalent on a space whose topology is R(r).5.Minboal R_0-spaces are RS-compact.6.MaxAnalα-compact spaces are RS-compact.
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