Almost contra-continuity via topological grills
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DOI:
https://doi.org/10.26637/MJM0801/0032Abstract
The purpose of this paper is, to introduce a new class of functions called almost contra- $\mathscr{G}$-precontinuous functions which is a generalization of contra- $\mathscr{G}$-precontinuous functions.
Keywords:
Topological spaces, G-preopen sets, $mu$ half $beta$ connectednees, almost contra-G-precontinuous functionsMathematics Subject Classification:
Mathematics- Pages: 189-194
- 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.
S. P. Arya and M. P. Bhamini, Some generalizations of pairwise Urysohn spaces, Indian J. Pure Appl. Math, 18(1987), 1088-1093.
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.
S. G. Crossley and S. K. Hildebrand, Semi-closure, Texas J. Sci., 22(1971), 99-112.
S. G. Crossley and S. K. Hildebrand, Semi Topological properties, Fund. Math., 74(1972), 233-254.
K. Dlaska, N. Ergun and M. Ganster, Countably $S$-closed spaces, Math. Slovaca, 44 (1994), 337-348.
E. Ekici, (δ-pre,s)-continuous functions, Bull. Malays. Math. Sci. Soc. 27. 2(2004), 237-251.
E. Ekici, Another form of contra-continuity, Kochi J. Math., 1(2006), 21-29.
A. A. El-Atik, A Study of Some Types of Mappings on Topoligical Spaces, M. Sc. Thesis, Tanta University, Egypt (1997).
N. Ergun, On nearly paracompact spaces, Istanbul Univ. Fen. Mec. Ser. A, 1980(45), 65-87.
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.
D. S. Jankovic and P. E. Long, $theta$-irreducible spaces, Kyungpook Math. J., 26(1986), 63-66.
N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
G. D. Maio, $S$-closed spaces, $S$-sets and $S$-continuous functions, Accad. Sci. Toriu., 118(1984), 125-134.
A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deep, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
T. Noiri, A note on S-closed spaces, Bull. Inst. Math. Acad. Sinica, 12(1984), 229-235.
N. Rajesh and G. Sarabha Reddy Gurram, Contracontinuity via grills (submitted).
N. Rajesh and G. Sarabha Reddy Gurram, Weak continuity via grills (submitted).
N. Rajesh and G. Sarabha Reddy Gurram, Some New separation axioms in grill topological space (submitted).
B. Roy and M. N. Mukherjee, On a typical topology induced by a grill, Soochow J. Math., 33 (4) (2007), 771786.
M. K. Singal and S. P. Arya, On nearly-compact spaces, UMI 1969,2(4), 702-710.
T. Soundarajan, Weakly Hausdorff spaces and the cardinality of toological spaces in General topology and its relation to modrn analysis and algebra. III, Proc. Conf. Kanpur (1968), Academia, Prague, (1971), 301-306.
R. Staum, The algebra of bounded continuous functions into a nonarchimedian field, Pacific J. Math., 50(1974), 169-185.
M. H. Stone, Application of the theory of Boolean rings to general topology, Transl. Amer. Math. Soc., 41(1937), $375-381$.
L. A. Steen and J. A. Seebach Jr, Counter exampls in Topology, Holt, Rinenhart and Winston, New York, 1970.
T. Thompson, $S$-closed spaces, Proc. Amer. Math. Soc., 60(1976), 335-338.
G. J. Wang, On S-closed spaces, Acta Math. Sinica., 24(1981), 55-63.
W. J. Thron, Proximity structure and grills, Math. Ann., 206(1973), 35-62.
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