<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

On type-2 m-topological spaces

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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{"article-title":"On type-2 m-topological spaces"}

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...

On type-2 m-topological spaces

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
Multi sets, multi topologies, multi subspace, m2-topologies, mgp-maps

© 2017 Sk. Nazmul, published by De Gruyter Open

This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.

On type-2 m-topological spaces

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

KeywordsMulti sets, multi topologies, multi subspace, m2-topologies, mgp-maps

© 2017 Sk. Nazmul, published by De Gruyter Open

This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.

Keywords
Multi sets, multi topologies, multi subspace, m2-topologies, mgp-maps