SOME NEW RESULTS ON DIFFERENCE PARACOMPACT
NOTION IN TOPOLOGICAL SPACES

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SOME NEW RESULTS ON DIFFERENCE PARACOMPACT NOTION IN TOPOLOGICAL SPACES

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Abstract

An interesting area of research in topology is D-paracompact spaces. It is a significant type of topological space that retain compactness while benefiting from paracompactness and is considered as generalization of compact spaces. The concept of D-paracompactness was introduced and its basic characteristics were examined by the author in [17]. In this research, we introduce and improve this concept further by using a special type of covering and the difference sets (called as D-sets), which contains new and impactful properties. As a result, we obtained several new properties and results. We discuss the concept, characteristics, and theorems that related of D-paracompact space. We also studied different characterizations of D-paracompact spaces and discussed how they relate to other topological characteristics. We also give numerous instances of D-paracompact spaces, highlighting their applicability in different topological spaces

Keywords

Topological spaces paracompact spaces D-paracompact spaces countably D-paracompact spaces.

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