On m-Grill Multiset Topological Spaces

This paper presents the idea of a multiset grill topology, which fuses the principles of multiset topology with the concept of a grill. In this framework, a multiset grill extends the classical notion of a grill by allowing multiplicities, thereby enriching traditional set-theoretic structure. We first give a formal definition of multiset grill, explore its basic properties, and show how it relates to both conventional grill theory and multiset topology. Then we examine how multiset grills and multiset topologies interact, and we provide several key theorems that unify and link the two settings.