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SOME NEW CLASSES OF SETS AND DECOMPOSITION OF MICRO CONTINUITY VIA GRILLS
Author Name

AYYAVU PANDI & SELVARAJ GANESAN

Abstract

The idea of grill on a topological space was first introduced by Choquet [3] in 1947. It is observed from literature that the concept of grills is a powerful supporting tool, like nets and filters, in dealing with many a topological concept quite effectively. The notion of a micro topology was introduced and studied by Chandrasekar [2] which was defined Micro closed, Micro open, Micro interior and Micro closure. In this article, we present and study some new classes of sets and give a new decomposition of micro continuity in terms of grills.

keywords : Grill, Grill topology, Micro topology, Micro grill topology, Φm-open, gm-set, gmΦm-set.



Published On :
2021-06-19

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