• ON REGULAR MILDLY GENERALIZED (RMG)-CLOSED SETS IN TOPOLOGICAL SPACES
Abstract
The aim of this paper is to introduce and study the class of Regular Mildly Generalized closed (briefly RMG-closed) sets, which is properly placed between the classes of pre-closed sets due to A.S. Mashhour, M.E. Abd. El-Monsef and S.N. El-Deeb in 1982 and mildly generalized closed sets due to J.K. Park and J.H. Park in 2004. The relations with other notations directly or indirectly connected with generalized closed sets are investigated. Also we investigate some properties of new class of sets.
Keywords
Pre-closed sets, RMG-closed sets, mildly-g-closed sets, w-closed sets, rwg-closed sets, gα-closed, rg-open sets.
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