Some subsets of ideal topological spaces
Keywords:
Codense ideal, semiopen set, preopen set, ${\cal I}$-locally closed set, $f_{\cal I}$-set, regular${\cal I}$-closed set, ${\cal A}_{\cal I}$-set, semicontinuity, ${\cal A}_{\cal I}$-continuity, $f_{\cal I}$-continuitySubjects:
54A05, 54A10, 54C08, 54C10Abstract
In ideal topological spaces, $\star$-dense in itselfsubsets are used to characterize ideals and mappings. In thisnote, properties of ${\cal A}_{\cal I}$-sets, ${\cal I}$-locally closed sets andalmost strong ${\cal I}$-open sets are discussed. We characterizecodense ideals by the collection of these sets. Also, we give adecomposition of continuous mappings and deduce some well-knownresults.
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2007-07-15
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