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Boundary and Exterior of a Multiset Topology

Authors :
Mahanta, J.
Das, D.
Publication Year :
2015

Abstract

The concepts of exterior and boundary in multiset topological space are introduced. We further established few relationships between the concepts of boundary, closure, exterior and interior of an M- set. These concepts have been pigeonholed by other existing notions viz., open sets, closed sets, clopen sets and limit points. The necessary and sufficient condition for a multiset to have an empty exterior is also discussed.<br />Comment: arXiv admin note: substantial text overlap with arXiv:1403.5642

Subjects

Subjects :
Mathematics - General Mathematics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1501.07193
Document Type :
Working Paper