Redundancy of multiset topological spaces

Abstract

In this paper, we prove the redundancies of multiset topologies. It is shown that there is a complement preserving isomorphism between $(P^{\star }(U),⊑)$ and $(\mathcal{P}(X\times \mathbb{N}),\subseteq )$. It therefore follows that multiset topologies are superfluous and unnecessary in the theoretical view point.

This paper has been withdrawn by the author due to a crucial error in the proof of the main theorem

References in corpus (1)

• Boundary and Exterior of a Multiset Topology