European Journal of Molecular & Clinical Medicine
2515-8260
7
8
2020
12
21
Closure , Interior , Neighborhood , Limit Point Of Generalized Maximal Closed Sets In A Topological Space
3078
3084
4822
EN
Mandakini A.Desurkar , Suwarnlatha N. Banasode ,
Balachandra B.Diggewadi , Niranjan R.Muchandi
India
Journal Article
2020
12
21
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.
https://ejmcm.com/article_4822_2d4018661070a8ff234f9f45c6fe7046.pdf