Alpha Weakly Semi Closed Sets in Topological Spaces

R.S. Suriyaand¹ , T. Shyla Issac Mary²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.233-242, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.233242

Online published on Aug 31, 2018

Copyright © R.S. Suriyaand, T. Shyla Issac Mary . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
N. Levine introduced the concept of generalized closed (briefly g-closed) sets in topology. Researches in topology studied several versions of generalized closed sets and they characterized that sets. In this paper, we introduce a new class of closed sets which is called Alpha weakly semi closed sets in topological spaces and we study the relationships of this set with some other generalized closed sets. Also we study some of its basic properties.

Key-Words / Index Term :
αws-closed, ws-open, α-closure

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