Published Online: Jan 27, 2018
Page range: 77 - 93
Received: Nov 13, 2016
Accepted: Nov 24, 2017
DOI: https://doi.org/10.1515/aupcsm-2017-0007
Keywords
© 2017 Sk. Nazmul, published by De Gruyter Open
This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.
In the present paper, we define a notion of an m2-topological space by introducing a count of openness of a multiset (mset in short) and study the properties of m2-subspaces, mgp-maps etc. Decomposition theorems involving m-topologies and m2-topologies are established. The behaviour of the functional image and functional preimage of an m2-topologies, the continuity of the identity mapping and a constant mapping in m2-topologies are also examined.