<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

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

{"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

Publicado en línea: 27 ene 2018

Páginas: 77 - 93

Recibido: 13 nov 2016

Aceptado: 24 nov 2017

DOI: https://doi.org/10.1515/aupcsm-2017-0007

Palabras clave
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

Publicado en línea: 27 ene 2018

Páginas: 77 - 93

Recibido: 13 nov 2016

Aceptado: 24 nov 2017

DOI: https://doi.org/10.1515/aupcsm-2017-0007

Palabras claveMulti 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.

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