Theoretical Mathematics & Applications

On New Type of Monads in Topology

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  • Abstract

    The aim of this paper is to present and study a new type of monads, named Pè-monad, which plays an important role in our approach to p-closed spaces, pre-Urysohn spaces ...etc. Also, we investigated some new properties and relationships between this monad with other types of monads by using some concepts of nonstandard analysis.