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Redundancy of multiset topological spaces

2016/06/02 by A. Ghareeb, Ghareeb, A.
Decision Sciences · Mathematics · #Fuzzy and Soft Set Theory #Advanced Topology and Set Theory #Fixed Point Theorems Analysis

paper · pdf · doi:10.48550/arxiv.1606.01150

Abstract

In this paper, we prove the redundancies of multiset topologies. It is shown that there is a complement preserving isomorphism between (P^⋆(U),\sqsubseteq) and (P(X×ℕ),⊆). It therefore follows that multiset topologies are superfluous and unnecessary in the theoretical view point.

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