A study on fuzzy semi-stratifiable and fuzzy stratifiable spaces
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DOI:
https://doi.org/10.26637/MJM0803/0090Abstract
The notion of stratifiable space and semi-stratifiable space were studied by Gary Gruenhage [4]. Alexander P. Sostak extended the concept of stratifiable space to the fuzzy case [1]. In this paper we investigate some properties of fuzzy closure-preserving collection, fuzzy stratifiable space and fuzzy semi-stratifiable space.
Keywords:
Fuzzy closure-preserving collection, fuzzy stratifiable space, fuzzy semi-stratifiable space and fuzzy \(M_1\)- spaceMathematics Subject Classification:
Mathematics- Pages: 1240-1242
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
Alexander P. Sostak, On stratifiable fuzzy topological spaces, Mathematica Bohemica, 117(2)(1992), 169-184.
Chang C.L, Fuzzy topological spaces, J. Math. Anal. Appl., 24(1968), 182-190.
Ganesan Balasubramanian, Maximal Fuzzy Topologies, Kybernetika, 31(5)(1995), 459-464.
Gary-Gruenhage, Generalized Metric Space-Hand book of Set-Theoretic Topology, edited by K.Kunen and J.F.Vaughan, Elsevier Publishers, (1984), 423-500.
Jisha M.S. and R. Sreekumar, Some Aspects On Fuzzy Countably Compact Space, Science & Society. Journal of Nirmala Academic and Research Publications, 16(1)(2018), 59-64.
Jisha M.S. and R. Sreekumar, A study on fuzzy $sum$-space and fuzzy strong $Sigma$-space, International Review of Fuzzy Mathematics, 14(1)(2019), 9-16.
Liu Ying-Ming and Luo Mao Kang, Fuzzy Topology: Advances in Fuzzy Systems-Applications and Theory, Vol.9, World Scientific Publishing Co., 1997.
Luo Maokang, Paracompactness in Fuzzy Topological spaces, J.Math. Anal. Appl. 130(1988), 55-77.
R. Sreekumar, On Fuzzy Submetrizability, Journal of Fuzzy Mathematics, 10(2)(2000), 1-10.
R. Sreekumar, On Fuzzy Moore Spaces, Science & Society, Nirmala Academic and Research Publications, 2(2)(2004), 31-37.
R. Sreekumar, Fuzzy $sigma$-space, Bulletin of Kerala Mathematical Association, 5(1)(2009), 89-94.
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