Applications of maximal μ-open sets in generalized topology and quasi topology
Discussiones Mathematicae - General Algebra and Applications (2013)
- Volume: 33, Issue: 2, page 129-135
- ISSN: 1509-9415
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topBishwambhar Roy, and Ritu Sen. "Applications of maximal μ-open sets in generalized topology and quasi topology." Discussiones Mathematicae - General Algebra and Applications 33.2 (2013): 129-135. <http://eudml.org/doc/270236>.
@article{BishwambharRoy2013,
abstract = {In this paper, some fundamental properties of maximal μ-open sets such as decomposition theorem for a maximal μ-open set, are given in a generalized topological space. Some basic properties of intersection of maximal μ-open sets are established, cohere the law of μ-radical μ-closure in a quasi topological space is obtained, among the other things.},
author = {Bishwambhar Roy, Ritu Sen},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {μ-open set; maximal μ-open set; μ-radical; -open set; maximal -open set; -radical},
language = {eng},
number = {2},
pages = {129-135},
title = {Applications of maximal μ-open sets in generalized topology and quasi topology},
url = {http://eudml.org/doc/270236},
volume = {33},
year = {2013},
}
TY - JOUR
AU - Bishwambhar Roy
AU - Ritu Sen
TI - Applications of maximal μ-open sets in generalized topology and quasi topology
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2013
VL - 33
IS - 2
SP - 129
EP - 135
AB - In this paper, some fundamental properties of maximal μ-open sets such as decomposition theorem for a maximal μ-open set, are given in a generalized topological space. Some basic properties of intersection of maximal μ-open sets are established, cohere the law of μ-radical μ-closure in a quasi topological space is obtained, among the other things.
LA - eng
KW - μ-open set; maximal μ-open set; μ-radical; -open set; maximal -open set; -radical
UR - http://eudml.org/doc/270236
ER -
References
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- [5] W.K. Min, A note on quasi-topological spaces, Honam Math. Jour. 33 (2011) 11-17. doi: 10.5831/HMJ.2011.33.1.011.
- [6] F. Nakaoka and N. Oda, Some applications of minimal open sets, Int. Jour. Math. Math. Sci. 27(8) (2001) 471-476. doi: 10.1155/S0161171201006482. Zbl1009.54001
- [7] F. Nakaoka and N. Oda, Some properties of maximal open sets, Int. Jour. Math. Math. Sci. 21 (2003) 1331-1340. doi: 10.1155/S0161171203207262. Zbl1076.54501
- [8] B. Roy and R. Sen, Maximal μ-open and minimal μ-closed sets via generalized topology, Acta Math. Hungar. 136 (2012) 233-239. doi: 10.1007/s10474-012-0201-z. Zbl1299.54010
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