On type-2 m-topological spaces
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 16 (2017)
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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.
Keywords:
Multi sets, multi topologies, multi subspace, m2-topologies, mgp-maps
@article{AUPCM_2017_16_a5,
author = {Nazmul, Sk.},
title = {On type-2 m-topological spaces},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
year = {2017},
number = {16},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPCM_2017_16_a5/}
}
Nazmul, Sk. On type-2 m-topological spaces. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 16 (2017). http://geodesic.mathdoc.fr/item/AUPCM_2017_16_a5/