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On semi-g-regular and semi-g-normal spaces

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to introduce and study two new classes of spaces, called semi-g-regular and semi-g-normal spaces. Semi-g-regularity and semi-g-normality are separation properties obtained by utilizing semi-generalized closed sets. Recall that a subset A of a topological space (X, r) is called semi-generalized closed, briefly sg-closed, if the semi-closure of A C X is a subset of U C X whenever A is a subset of U and U is semi-open in (X,r).
Słowa kluczowe
Wydawca
Rocznik
Strony
415--421
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Department of Mathematics A, Graz University of Technology, Steyrergasse 30, A-8010 Graz, Austria
autor
  • Department of Mathematics And Physics, Roskilde University, Postbox 260, 4000 Roskilde, Denmark
  • Department of Mathematics, G. H. College, H Averi-581110, Karnataka, India
Bibliografia
  • [1] S. P. Arya and M. P. Bhamini, A generalization of normal spaces, Mat. Vesnik 35 (1983), 1-10.
  • [2] P. Bhattacharyya and B. K. Lahiri, Semi-generalized closed sets in topology, Indian J. of Math. 29 (3) (1987), 375-382.
  • [3] M. Caldas, Semi T 1/2-spaces, Pro Math. 8 (1994), 115-121.
  • [4] S. G. Crossley and S. K. Hildebrand, Semi-closure, Texas J. Sci. 22 (1971), 99-112.
  • [5] S. G. Crossley and S. K. Hildebrand, Semi-topological properties, Fund. Math. 74 (1972), 233-254.
  • [6] J. Dontchev and T. Noiri, Contra-semicontinuous functions, Math. Pannonica 10 (1999), 159-168.
  • [7] J. Dontche v and M. Ganster, On δ-generalized closed sets and T 3/4 spaces, Mem. Fac. Sci Kochi Univ. 17 (1996), 15-31.
  • [8] J. Dontchev and H. Maki, On sg-closed sets and semi-λ-closed sets, Q & A in General Topology 15 (1997), 259-266.
  • [9] C. Dorsett, Semi-regular spaces, Soochow J. Math. 8 (1982), 45-53.
  • [10] C. Dorsett, Semi-normal spaces, Kyungpook Math. J. 25 (1985), 173-180.
  • [11] A. Ganguly and R. S. Chandel, Some results on general topology, J. Indian Acad. Math. 9(2)(1987), 87-91.
  • [12] G. L. Garg and D. Shivaraj, Presemiclosed mappings, Periodica Math. Hungar. 19(2) (1988), 97-106.
  • [13] D. Jankovic and I. Reilly, On semi-separation axioms, Indian J. Pure Appl. Math. 16 (1985), 957-964.
  • [14] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.
  • [15] N. Levine, Generalized closed sets in topology, Rend. Circlo. Mat. Palermo 19 (2) (1970), 89-96.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0043-0021
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