A Unified Theory on Some Basic Topological Concepts

2008/02/07 by T. Hatice Yalvaç, T. Hatice Yalvac, Yalvac, T. Hatice
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #Fixed Point Theorems Analysis #Fuzzy and Soft Set Theory #math.GN

paper · pdf · doi:10.48550/arxiv.0802.0981

arxiv created 2008/02/07 · arxiv updated 2009/12/01

Abstract

Several mathematicians, including myself, have studied some unifications in general topological spaces as well as in fuzzy topological spaces. For instance in our earlier works, using operations on topological spaces, we have tried to unify some concepts similar to continuity, openness, closedness of functions, compactness, filter convergence, closedness of graphs, countable compactness and Lindelof property. In this article, to obtain further unifications, we will study ϕ_1,2-compactness and relations between ϕ_1,2-compactness, filters and ϕ_1,2% -closure operator.

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