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|M. Lellis Thivagar , M.Anbuchelvi
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|Ωˆ -closed sets., Ωˆ -complete accumulation point., Ωˆ -compactness., Ωˆ -multifunctions. 2010 Mathematics Subject Classification : 57C05, 57D05.|
|Compactness is one of the most useful and fundamental notions of not only general topology but also for other advanced branches of Mathematics. Lellis Thivagar et.al  recently introduce the class of Ωˆ -closed sets which form a topology and properly lies between the class of δ -closed sets and that of ω -closed sets. The aim of this paper is to investigate some characterizations of Ωˆ -compact Spaces in terms of nets and filterbase. By introducing the notion of Ωˆ -complete accumulation points, we investigate some characterizations of Ωˆ -compact Spaces. This paper is to introduce concepts such as I -lower (resp.upper) Ωˆ -continuous and Ωˆ -multifunctions by which Ωˆ -compactness is studied. Also some characterizations of Ωˆ -multifunctions is obtained.|
Ωˆ -COMPACT SPACES VIA FILTERS
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