Posts

Showing posts from April, 2022
  CERTAINFUNDAMENTALPROPERTIESOF a    -OPENSETS IN TOPOLOGICAL SPACES   Dr.S.Bamini', Assistant Professor, Department of Mathematics, G.Katheeja Mary 2 ’ Assistant Professor, Department of Mathematics, K.Su1ochana3 Assistant Professor, Department of Mathematics, Marudhar Kesari Jain College for women, Vaniyambadi.     ABSTRACT: In this paper, we are going to see a new type of an n-sets called e”-opensets.And we also discuss here about  some properties of o * - open sets and we compare this new notation with other some classes of sets.Then some of these characterizations,remarks,andcounterexamplesaredetailly given in this work. Keywords: o-open sets,a-regular spaces, o-continuity mappings,o'-open sets, o”-opensets   Introduction This notionof set is one of the most important concepts in the topological space,and itplays an vital role in the topic of general topology.There are various topics studied on setstheory a...