On Pre Rg-Continuous Functions in Topology
DOI:
https://doi.org/10.53555/nnms.v5i6.534Abstract
In this paper we define and study the concept of pre-Rg-continuous functionsusing preopen sets due to Mashhour et.al (1982) and rg-open sets due to N . Palaniappan(1993). Also,we study the pre-g-regular spaces. Mathematics Subject Classification(2010) : 54A05, 54B05,54C08, 54D10.
References
I. Arokarani, K. Balchandran, ‘On Regular Generalized Continuous Maps in Topological Spaces’, Kyungpook Math.J.37 (1997), 305-314.
I. Arokarani, .Balchandran and J. Dontchev, Some Characterizations of gp-irresolute And gp-continuous maps between topological spaces Mem. Fac. Sci. Kochi Univ. (Math.) 20 (1999), 93-104.
S. P. Arya and R. Gupta (1974), ‘On Strongly Continuous Functions’, Kyungpook Math. J., 14 :131-143.
K.Balachndran, P. Sundaram and H. Maki, ‘On generalized Continuous maps in Topological Spaces’, Mem. Fac. Sci. Kochi. Univ. (Math) 12 (1991),5-13.
S.N.El – Deeb, I. A. Hasanein, A. S. Mashhour and T. Noiri, “ On p-regular Spaces”, Bull. Math. Soc.Sci. Math. R.S.Roumanie (N.S), 27 (75), (1983), 311-315.
Y.GNANAMBAL, ‘On Generalized preregular closed set in Topological Spaces’, Indian. J. Pure. Appl. Math., 28(3) : 351-360, March 1997.
N.Levine, Generalized Closed Sets in Topology. Rend. Circ. Mat. Palermo. 19(2) (1970), 89-96.
A. S. Mashhour, M.E.Abd El-Monsef and S.N.El-Deeb, On Precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982) 47-53.
A. S. Mashhour, M. E. Abd El-Monsef and I.A.Hasanein “On pretopological Spaces”, Bull. Math. Soc. Sci. Math. R.S. Roumanie, 28(76) (1984), 39-45.
B. M. Munshi, ‘Separation Axioms’, Acta Crencia Indica 12(1986), 140-145.
Govindappa Navalagi, ‘?-Neighborhoods in Topological Spaces’, pacific- Asian Journal of Mathematics, Volume 3, No.1-2. January – December 2009.
T.Noiri, H. Maki and J.Umehara, ‘Generalized preclosed Functions’ Mem. Fac. Sci. Kochi. Univ. (Math.) 19(1998), 13-20.
N.Palniappan and K. Chandrashekar Rao, ‘Regular Generalized Closed Sets’, Kyungpook Mathematical Journal, Vol.33, No.2, 211-219, December 1993.
V. Popa, “Properties of H-almost continuous Functions”, Bull. Math. Soc. Sci. Math. RSR. Tome 31(79), no.2, (1987), 163-168.
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
