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Unification of almost regular, almost normal and mildly normal topological spaces

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EN
Abstrakty
EN
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.
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Rocznik
Strony
963--974
Opis fizyczny
Bibliogr. 30 poz.
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autor
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.
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  • [6] A.Csaszar, _- and _-modifications of generalized topologies Acta Math. Hungar. 120(3) (2008), 275-279.
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  • [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.
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  • [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.
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  • [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
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