References
-
M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud,
$\beta$ -open sets and$\beta$ - continuous mappings, Bull. Fac. Sci. Assiut Univ., 12(1983), 77-90. - D. Andrijevic, Semipreopen sets, Mat. Vesnik, 38(1986), 24-32.
- S. P. Arya and M. P. Bhamini, Some generalizations of Pairwise Urysohn spaces, Indian J. Pure Appl. Math., 18(1987), 1088-1093.
- N. Bourbaki, General Topology, Part I, Addison Wesley, Reading, Mass 1996.
- M. Caldas, S. Jafari, T. Noiri and M. Simoes, A new generalization of contra- continuity via Levine's g-closed sets, Chaos, Solitons and Fractals, 32(2007), 1597- 1603. https://doi.org/10.1016/j.chaos.2005.12.032
- S. H. Cho, A note on almost s-continuous functions, Kyungpook Math. J. 42(2002), 171-175.
- H. Corson and E. Michael, Metrizability of certain countable unions, Illinois J. Math., 8(1964), 351-360.
- S. G. Crossley and S. K. Hildebrand, Semi-closure, Texas J. Sci., 22(1971), 99-112.
- R. Devi, H. Maki and K. Balachandran, Semi-generalized closed maps and generalized semi-closed maps, Mem. Fac. Sci. Kochi. Univ. Ser. A. Math., 14(1993), 41-54.
- J. Dontchev, Contra-continuous functions and strongly S-closed spaces, Int. J Math. Math. Sci., 192(1996), 303-310. https://doi.org/10.1155/S0161171296000427
- J. Dontchev and T. Noiri, Contra-semicontinuous functions, Math Pannonica, 10(1999), 159-168.
- J. Dontchev, M. Ganster and I. Reilly, More on almost s-continuity, Indian J. Math., 41(1999), 139-146.
-
J. Dontchev and T. Noiri, Quasi-normal and
${\pi}g$ -closed sets, Acta Math Hungar., 89(3)(2000), 211-219. https://doi.org/10.1023/A:1010607824929 -
E. Ekici, On (g, s)-continuous and (
${\pi}g$ , s)-continuous functions, Sarajevo Journal of Mathematics, 3(15)(2007), 99-113. - E. Ekici, Almost contra-super-continuous functions, Studii si Cercetari Stiintifice, Seria:Matematica, Univ, din Bacau, 14(2004), 31-42.
- E. Ekici, Properties of regular set-connected functions, Kyungpook Math. J., 44(2004), 395-403.
- E. Ekici, Another form of contra-continuity, Kochi J. Math., 1(2006), 21-29.
-
E. Ekici and C.W. Baker, On
${\pi}g$ -closed sets and continuity, Kochi J. Math., 2(2007), 35-42. -
E. Ekici, On contra
${\pi}g$ -continuous functions, Chaos, Solitons and Fractals, 35(2008), 71-81. https://doi.org/10.1016/j.chaos.2006.05.016 - E. Ekici, On Contra R-continuity and a weaker form, Indian J. Math., 46(2-3)(2004), 267-281.
- M. Ganster, On strongly s-regular spaces, Glasnik Mat., 25(45)(1990), 195-201.
- S. Jafari and T. Noiri, Contra-super-continuous functions, Ann. Univ. Sci. Buda pest Eotvos Sect. Math., 42(1999), 27-34.
- S. Jafari, T. Noiri, N. Rajesh and M. L. Thivagar, Another generalization of closed sets, Kochi J. Math., 3(2008), 25-38.
- S. Jafari and N. Rajesh, Weak and strong form of ˜g-irresolute functions, Filomat., 21(2)(2007), 199-209. https://doi.org/10.2298/FIL0702199J
- J. E. Joseph and M. H. Kwack, On S-closed spaces, Proc. Amer. Math. Soc., 80(1980), 341-348. https://doi.org/10.1090/S0002-9939-1980-0577771-4
- N. Levine, Strong continuity in topological spaces, Amer. Math. Monthly, 67(1960), 269. https://doi.org/10.2307/2309695
- N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41. https://doi.org/10.2307/2312781
- N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96. https://doi.org/10.1007/BF02843888
- G. D. Maio, S-closed spaces, S-sets and S-continuous functions, Accad. Sci. Torino, 118(1984), 125-134.
- G. D. Maio and T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math., 18(1987), 226-223.
-
H. Maki, R. Devi and K. Balachandran, Associated topologies of generalized closed sets and generalized
$\alpha$ -closed sets, Mem. Fac. Sci. Kochi. Univ. Ser. A. Math., 15(1994), 51-63. - 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.
- O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970. https://doi.org/10.2140/pjm.1965.15.961
- T. Noiri, On S-closed subspaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fiz. Mat Natur., 8(64) (1978), 157-162.
- T. Noiri, Super-continuity and some strong forms of continuity, Indian J. Pure Appl. Math., 15(1984), 241-250.
- T. Noiri, A note on S-closed spaces, Bull. Inst. Math. Acad. Sinica, 12(1984), 229-235.
- T. Noiri, On almost continuous functions, Indian J. Pure Appl. Math., 20(1989), 571-576.
- T. Noiri, B. Ahmad and M. Khan, Almost s-continuous functions, Kyungpook Math. J., 35(1995), 311-322.
-
T. Noiri and S. Jafari, Properties of (
$\theta$ , s)-continuous functions, Topology Appl., 123(2002), 167-179. https://doi.org/10.1016/S0166-8641(01)00180-8 - T. Noiri, A note on S-regular spaces, Glasnik Mat., 13(33)(1987), 107-110.
- M. C. Pal and P. Bhattacharyya, Faint precontinuous functions, Soochow J. Math., 21(1995), 273-289.
- O. Ravi, M. Balakrishnan and M. L. Thivagar, Weak and strong forms of g-irresolute functions. Communicated.
- O. Ravi, M. Lellis Thivagar and R. Latha, (g,s)-continuous functions between topological spaces, Fasciculi Mathematici (To appear).
- T. Soundararajan, Weakly Hausdorff Spaces and the Cardinality of Topological Spaces, in: General Topology and its Relation to Modern Analysis and Algebra III, Proc. Conf. Kanpur, 1968, Academia, Prague 1971, pp.301-306.
- L. A. Steen and J. A. Seebach Jr, Counter examples in Topology, Holt, Rinerhart and Winston, New York 1970.
- M. H. Stone, Applications of the theory of Boolean rings to general topology, TAMS, 41(1937), 375-381. https://doi.org/10.1090/S0002-9947-1937-1501905-7
- T. Thompson, S-closed spaces, Proc. Amer. Math. Soc., 60(1976), 335-338. https://doi.org/10.1090/S0002-9939-1976-0425899-0
- M. K. R. S. Veerakumar, g-closed sets in Topological Spaces, Bull. Allahabad Math. Soc.,18(2003), 99-112.
- M. K. R. S. Veerakumar, Between g*-closed sets and g-closed sets, Antarctica J. Math., 3(1)(2006), 43-65.
- M. K. R. S. Veerakumar, #g-semi-closed sets in topological spaces, Antarctica J. Math., 2(2)(2005), 201-222.
- N. V. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl., 78(1968), 103-118.
- G. J. Wang, On S-closed spaces, Acta Math Sinica, 24(1981), 55-63.
- V. Zaitsev, On certain classes of topological spaces and their bicompactifications, Dokl. Akad. Nauk SSSR, 178(1968), 778-779.