Online ISSN: 2515-8260

Author : Balachandra B.Diggewadi , Niranjan R.Muchandi, Mandakini A.Desurkar , Suwarnlatha N. Banasode ,


Closure , Interior , Neighborhood , Limit Point Of Generalized Maximal Closed Sets In A Topological Space

Mandakini A.Desurkar , Suwarnlatha N. Banasode , Balachandra B.Diggewadi , Niranjan R.Muchandi

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 8, Pages 3078-3084

In this paper we presented closure , interior & neighbourhood of a generalized maximal closed in a topological space. g-ma -closure (clg-ma(M)) of M ,where M  Y in a topological space(Y,) is the intersection of all g-ma closed containing M , Simarily g-ma -interior (intgmi(M))of M is the union of all g-mi open contained in M. Let N  Y in a topological space (Y,) is g-ma- neighborhood of a point y  Y if ∃ a g-mi open set E  y  E  N. Let Ng-ma be collection of all g-ma neighborhoods. A point y  Y is g-ma limit point of a subset L of (Y,)if and only if [E-{y}] ∩ L≠  for each g-mi open E containing y.