In this paper, we show the redundancies of multiset topological spaces. It is proved that
$(P^\star (U),\sqsubseteq) $ and $(Ds (\varphi (U)),\subseteq) $ are isomorphic. It follows …

In this paper, we introduced some operations on multiset topological spaces to include
union, intersection, arithmetic multiplication, Scalar multiplication and Raising to Arithmetic …

In this paper, we discuss how role of interior, exterior and boundary in M-topology is different
from that of similar concepts in general topology. In general topology, we have numerous …

Multiset as a genelization of the classical set has triggered the definition and introduction of
some algebraic structures in classical set theory under multiset context such as multiset …

This study aims to introduce a new structure named binary multiset (BMS), which is a
combination of the binary set and multiset structures. The purpose of this paper is to …

In real life, a number of situations occur where we have to deal with collections of elements
in which duplicates are significant. There are enormous repetitions in nature like many …

Topology is one of the mathematical branches which studies properties of the spaces that
are invariant under any deformation. It is sometimes called “rubbersheet geometry” because …

In this paper, we introduce and study some of the topological properties of oD-mset, o−∆
mset by using the concept of open msets. Also, we present new separation axioms by using …