Low Separation Axioms Via (1, 2)*-Mmπ-Closed Sets in Biminimal Spaces
DOI:
https://doi.org/10.53555/ms.v2i1.240Keywords:
: (1, 2)*-Mmπ- T0, (1, 2)*- Mmπ - T1, (1, 2)*- Mmπ - T2, (1, 2)*- Mmπ - R0, (1, 2)*- Mmπ -R1.Abstract
The purpose of this paper is to introduce the concepts of (1, 2)*-Mmπ- T0 space, (1, 2)*- Mmπ - T1 space and (1, 2)*- Mmπ - T2 space in a biminimal spaces. We study some of the characterizations and properties of these separation axioms. Further we discuss (1, 2)*- Mmπ -R0 and (1, 2)*- Mmπ -R1 spaces in biminimal spaces. The implications of these axioms among themselves are also investigated,
Downloads
References
Ashish Kar and Paritosh Bhattacharyya, Some weak separation axioms, Bull. Cal. Math. Soc. 82(1990), 415-422.
S. Athisaya Pomona and M. Lellis Thivagar, Another form of separation Axioms, Methods of Functional Analysis and Topology, Vol. 13(2007), no.4, pp. 380-385.
M. Caldas and S. Jafari, On some low separation axioms in topological spaces, Houston Journal of Math., 29 (2003), 93–104.
M. Caldas, S. Jafari, S. A. Ponmani and M. Lellis Thivagar, On some low separation axioms in bitopological spaces, Bol. Soc. Paran. Mat.(3s) v.24 1- 2(2006);69-78.5.
A. S. Davis, Indexed systems of neighborhoods for general topological spaces, Amer. Math. Soc., 68 (1961), 886–893.
S.N. Maheswari and R. Prasad, Some new separation axioms, Ann. Soc. Sci. Bruxelles, 89(1975), 395-402.
S. N. Maheswari and R. Prasad, On R0-spaces, Portugal Math., 34(1975), 213-217.
K. Mohana and I. Arockiarani, (1, 2)*-Mmπ-Closed sets In Biminimal Spaces (Communicated).
M. G. Murdeshwar and S. A. Naimpally, R1-topological spaces, Canad. Math. Bull., 9 (1996), 521–523.
S. A. Naimpally, On R0-topological spaces, Ann. Univ. Sci. Budapest. E¨otv¨os Sect. Math. 10 (1976), 53–54.
T. Noiri, 11th meeting on topological spaces and its Applications, Fukuoka University Seminar House, 2006, 1-9.
V. Popa and T. Noiri, On M-continuous functions, Anal. Univ “Dunarea de Jos “ Galati, Ser. Mat. Fiz. Mec. Tecor. (2), 18(23) (2000), 31-41.
O. Ravi, R. G. Balamurugan and M. Balakrishnan, On biminimal quotient mappings, International Journal of Advances in Pure and Applied Mathematics, 1(2) (2011), 96-112.
O. Ravi, R. G. Balamurugan and M. Krishnamoorthy, Decompositions of M (1, 2)* -continuity and Complete M (1, 2)* -continuity In Biminimal Spaces, International Journal of Mathematical Archive, 2(11) (2011), 2299-2307.
N. A. Shanin, On separation in topological spaces, Dokl. Akad. Nauk SSSR, 38 (1943), 110–113.
C.-T. Yang, “On paracompact spaces,” Proc. Amer. Math. Soc., vol. 5, pp. 185– 189, 1954.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 gnpublication@
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In consideration of the journal, Green Publication taking action in reviewing and editing our manuscript, the authors undersigned hereby transfer, assign, or otherwise convey all copyright ownership to the Editorial Office of the Green Publication in the event that such work is published in the journal. Such conveyance covers any product that may derive from the published journal, whether print or electronic. Green Publication shall have the right to register copyright to the Article in its name as claimant, whether separately
or as part of the journal issue or other medium in which the Article is included.
By signing this Agreement, the author(s), and in the case of a Work Made For Hire, the employer, jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere, and is not being considered for publication elsewhere in any form, except as provided herein. Each author’s signature should appear below. The signing author(s) (and, in