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Abstrakty
In this paper, a new kind of sets called regular ž-generalized closed (briefly ržg-closed) sets are introduced and studied in a topological space. Some of their properties are investigated. Finally, some characterizations of almost ž-regular, almost ž-normal and mildly ž-normal spaces have been given.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
963--974
Opis fizyczny
Bibliogr. 30 poz.
Twórcy
autor
- Department Of Mathematics Women's Christian College 6, Greek Church Row Kolkata-700 026 India, bishwambhar roy@yahoo.co.in
Bibliografia
- [1] A.Al Omari, M.S.Md Noorani, Regular generalized !-closed sets Internat. J .Math. Math. Sci.(2007), 1-11.
- [2] Y.Beceren, T.Noiri, Some functions defined by semi-open and _-open sets Chaos Solitons Fractals 36(5) (2008), 1225-1231.
- [3] D.Carnahan, Some properties related to compactness in topological spaces Ph.D thesis, University of Arkansas, 1973.
- [4] A.Csaszar, Generalized topology, generalized continuity Acta Math. Hungar. 96 (2002), 351-357.
- [5] A.Csaszar, Generalized open sets in generalized topologies Acta Math. Hungar.106 (2005), 53-66.
- [6] A.Csaszar, _- and _-modifications of generalized topologies Acta Math. Hungar. 120(3) (2008), 275-279.
- [7] J.Dontchev, M.Ganster, T.Noiri, Unified operation approach of generalized closed sets via topological ideals Math. Japon. 49 (1999), 395-401.
- [8] E.Ekici, T.Noiri, On a generalization of normal, almost normal and mildly normal spaces II Filomat 20(2) (2006), 67-80.
- [9] Y.Gnanambal, On generalized regular closed sets in topological spaces Indian J.Pure Appl.Math.28(3) (1997), 351-360.
- [10] H.Z.Hdeib, !-closed mappings Rev. Colombiana Mat.16(1 2 )(1982), 65-78.
- [11] N.Levine, Semi-open sets and semi-continuity in topological spaces Amer. Math. Monthly 70 (1963), 36-41.
- [12] N.Levine, Generalized closed sets in topology Rend. Circ. Mat. Palermo 19(2) (1970), 89-96.
- [13] H.Maki, J.Umehara, T.Noiri, Every topological space is pre-T1 / 2, Mem. Fac. Sci. Kochi Univ. Ser.A Math. 17 (1996), 33-42.
- [14] H.Maki, R.Devi, K.Balachandran, Generalized _-closed sets in topology Bull. Fukuoka Univ. Ed.III 42 (1993), 13-21.
- [15] S.R.Malghan, G.B.Navalagi, Almost p-regular, p-completely regular and almost p-completely completely regular spaces Bull. Math. Soc. Sci. Math. R.S.Roumanie 34(82) (1990) ,417-326.
- [16] A.S.Mashhour, M.E.Abd El Monsef, S.N.El Deeb, On precontinuous and weak precontinuous mappings Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53.
- [17] G.B.Navalagi, p-normal, almost p-normal and midly p-normal spaces Topology Atlas, (Preprint).
- [18] T.Noiri, Mildly normal spaces and some functions Kyungpook Math.J.36 (1996), 183-190.
- [19] T.Noiri, Almost p-regular spaces and some functions Acta Math. Hungar. 79 (1998), 207-216.
- [20] T.Noiri, Almost _g-closed functions and separation axioms Acta Math. Hungar. 82(3) (1999), 193-205.
- [21] T.Noiri, B.Roy, Unification of generalized open sets on topological spaces Acta Math. Hungar. (accepted and to appear).
- [22] N.Palaniappan, K.Chandrasekhara Rao, Regular generalized closed sets Kyungpook Math.J. 33(2) (1993), 211-219.
- [23] J.H.Park, Almost p-normal, mildly p-normal spaces and some functions Chaos Solitons Fractals 18 (2003), 267-274.
- [24] J.K.Park, J.H.Park, Mildly generalized closed sets, almost normal and mildly normal spaces Chaos Solitons Fractals 20 (2004), 1103-1111.
- [25] S.Raychaudhuri, M.N.Mukherjee, On _-almost continuity and _-preopen sets Bull. Inst. Math. Acad. Sinica 21 (1993), 357-366.
- [26] B.Roy, On generalization of R0 and R1 spaces Acta Math.Hungar.127 (2010), 291-300.
- [27] M.K.Singal, S.P.Arya, On almost-regular spaces Glasnik Mat.4(24) (1969), 89-99.
- [28] M.K.Singal, S.P.Arya, Almost normal, almost completely regular spaces Glasnik Mat. 5(25) (1970), 141-152.
- [29] M.K.Singal, A.R.Singal, Mildly normal spaces Kyungpook Math.J.13 (1973), 27-31.
- [30] N.V.Velicko, H-closed topological spaces Mat. Sb. 70 (1966), 98-112.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0035-0038