1991
DOI: 10.1155/s0161171292000322
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On θC‐open sets

Abstract: ABSTRACT. The properties of the collection of complements of @-closures of sets in a topological space are investigated in %his paper. A strong continuity condition is defined in terms of these sets. Some applications to H-closed spaces and Katetov spaces are given.

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“…In this section, we strengthen this result by replacing both the θ-g-closed and continuous requirements with weaker conditions. Our replacement for the θ-g-closed condition uses the concept of a θ-c-open set from [2].…”
Section: Sufficient Conditions For Images Of θ-G-closed Sets To Be θ-mentioning
confidence: 99%
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“…In this section, we strengthen this result by replacing both the θ-g-closed and continuous requirements with weaker conditions. Our replacement for the θ-g-closed condition uses the concept of a θ-c-open set from [2].…”
Section: Sufficient Conditions For Images Of θ-G-closed Sets To Be θ-mentioning
confidence: 99%
“…The purpose of this note is to strengthen slightly some of the results in [5] concerning the preservation of θ-generalized closed sets. This is done by using the notion of a θ-c-closed set developed by Baker [2]. These sets turn out to be a very natural tool to use in investigating the preservation of θ-generalized closed sets.…”
Section: Introduction Recently Dontchev and Makimentioning
confidence: 99%