On type-2 m-topological spaces

Sk. Nazmul

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2017)

  • Volume: 16, Issue: 1, page 77-93
  • ISSN: 2300-133X

Abstract

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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.

How to cite

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Sk. Nazmul. "On type-2 m-topological spaces." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 16.1 (2017): 77-93. <http://eudml.org/doc/288432>.

@article{Sk2017,
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.},
author = {Sk. Nazmul},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {Multi sets; multi topologies; multi subspace; m2-topologies; mgp-maps},
language = {eng},
number = {1},
pages = {77-93},
title = {On type-2 m-topological spaces},
url = {http://eudml.org/doc/288432},
volume = {16},
year = {2017},
}

TY - JOUR
AU - Sk. Nazmul
TI - On type-2 m-topological spaces
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2017
VL - 16
IS - 1
SP - 77
EP - 93
AB - 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.
LA - eng
KW - Multi sets; multi topologies; multi subspace; m2-topologies; mgp-maps
UR - http://eudml.org/doc/288432
ER -

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