ON SEPARATION AXIOMS IN TOPOLGICAL SPACES
DOI:
https://doi.org/10.29121/granthaalayah.v4.i6.2016.2650Keywords:
Sgp-Closed Set, Sgp-Open Set, Sgp-T0, Sgp-T1, Sgp-T2Abstract [English]
The purpose of this paper is to introduce weak separation axioms via sgp-closed sets in topological spaces and study some of their properties.
Downloads
References
Mahesh Bhat, Some studies in point set topology, some more generalized open and generalized closed sets and their properties in topological spaces, Ph.D., Thesis, Karnatak University, Dharwad, 2007.
S. G. Crossely and S. K. Hilderbrand. Semi closure, Texas Jl. Sci., 22(1971), 99-112.
N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math., Monthly, 70(1963), 36-41. DOI: https://doi.org/10.1080/00029890.1963.11990039
N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2) (1970), 89-96. DOI: https://doi.org/10.1007/BF02843888
A. S. Mashhour, M. E. Abd El-Monsef and Noiri. T., Strongly Compact spaces, Delta J.
Sci.8(1984), 30-46 DOI: https://doi.org/10.1093/besa/30.1.46
B. M. Munshi, separation axioms, ActaCienciaIndica 12(1986), 140-144.
GovindappaNavalagi and Mahesh Bhat, on sgp-closed sets in Topological Spaces,
Journal of Applied Mathematical Analysis and Applications, 3(1)(2007), 45-58.
GovindappaNavalagi and Md. Hanif PAGE, on some separation axioms via θgs-open
sets, Bulletin of Allahabad Mathematical Society, Vol. 25 (1), (2010), 13-22.
Downloads
Published
How to Cite
Issue
Section
License
With the licence CC-BY, authors retain the copyright, allowing anyone to download, reuse, re-print, modify, distribute, and/or copy their contribution. The work must be properly attributed to its author.
It is not necessary to ask for further permission from the author or journal board.
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.