Monad Discrete Spaces and Limit Monad Points on Them

Abstract

In this study, Monad discrete spaces were defined on amply soft topologies which is a more flexible and comprehensive structure from other known traditional soft topologies. The conditions under which a given amply soft set is amply soft open or amply soft closed set were given over them. Then, the amply soft set of limit monad points and closure points of any amply soft set in monad discrete spaces was investigated and the relevant properties were given. And then, as an extra, limit monad points in amply soft topological spaces produced by classical topologies were investigated and the relevant property was given. While constructing amply soft sets, specifically focused on amply soft topologies formed by selecting real numbers from both universal and parametric spaces unlike the traditional soft sets. Finally, a question was left that we hope will catch the reader's attention.

Keywords

• a new extended soft set
• limit monad point
• monad discrete space
• PAS topology

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