Faint continuity via topological grill
Downloads
DOI:
https://doi.org/10.26637/MJM0801/0021Abstract
The aim of this paper is to introduce and characterize a new class of functions called almost $\mathscr{G}$-semicontinuous functions in grill topological spaces by using $\mathscr{G}$-semiopen sets.
Keywords:
Grill topological spaces, G-semiopen sets, faint G-semicontinuityMathematics Subject Classification:
Mathematics- Pages: 125-128
- Date Published: 01-01-2020
- Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
A. Al-Omari and T. Noiri, Decomposition of continuity via grills, Jordan J. Math and Stat., 4(1) (2011), 33-46.
K. C. Chattopadhyay, O. Njastad and W. J. Thron, Merotopic spaces and extensions of closure spaces, Can. J. Math., 35 (4) (1983), 613-629.
K. C. Chattopadhyay and W. J. Thron, Extensions of closure spaces, Can. J. Math., 29 (6) (1977), 1277-1286.
G. Choqet, Sur les notions de filter et grill, ComptesRendus Acad. Sci. Paris, 224 (1947), 171-173.
E. Hatir and S. Jafari, On some new calsses of sets and a new decomposition of continuity via grills, J. Adv. Math. Studies, 3 (1) (2010), 33-40.
S. Jafari, Some properties of quasi θ-continuous functions, Far East J. Math. Soc., 6(1998), 689-696.
N. Levine, Semi-open sets and sem-continuity in topolological spaces, Amer. Math. Monthly, 70 (1963) 36?41.
P. E. Long and L. L. Herrington, The T_θ-topology and faintly continuous functions, Kyungpook Math. J., 22(1982), 7-14.
P. Maragatha Meenakshi and S. Chandran, New separation axioms via G-semiopen sets (submitted).
T. Noiri and V. Popa, Weak forms of faint continuity, Bull. Math. Soc. Sci. Math. Roumanie, 34(82)(1990), 263-270.
B. Roy and M. N. Mukherjee, On a typical topology induced by a grill, Soochow J. Math., 33 (4) (2007), 771786.
S. Sinharoy and S. Bandyopadhyay, On $theta$-completely regular and locally $theta-H$-closed spaces, Bull. Cal. Math. Soc., 87(1995), 19-28.
W. J. Thron, Proximity structure and grills, Math. Ann., 206 (1973), 35-62.
N. V. Velicko, H-closed topological spaces, Trans. Amer. Math. Soc., 78,2(1968), 103-118.
Similar Articles
- R. Pichailakshmi, M. Poobalaranjani, On cocoloring of corona of graphs , Malaya Journal of Matematik: Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.