Some Properties of Connectedness for M-Topological Space

A multiset (mset), or bag, is used to model multi-attribute objects where repetition is significant. The concept of M-topology, or Multiset Topology, serves as a generalization of general topology (point-set topology) within the multiset context. In general topology, ‎fundamental concepts such as homeomorphism, connectedness, and compactness are well-established. In this paper, we introduce the ‎definitions of homeomorphism and some related results specifically for M-topological spaces. Additionally, we explore and establish several ‎results concerning connectedness within the M-topological framework.