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On some classes of sets in extremally disconnected spaces

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EN
Abstrakty
EN
In the present paper several characterizations of the classical notion of extremally disconnected spaces are obtained. A few relationships for finite products of extremally disconnected spaces are also studied.
Wydawca
Rocznik
Strony
169--180
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
  • Casimirus the Great University, Department of Mathematics, Pl. Weyssenhoffa 11, 85–072 Bydgoszcz, Poland
Bibliografia
  • [1] D. Andrijević, Semi-preopen sets, Mat. Vesnik 38 (1986), 24–32.
  • [2] D. E. Cameron, Properties of s-closed spaces, Proc. Amer. Math. Soc. 72 (1978), 581–586.
  • [3] C. G. Crossley, S. K. Hildebrandt, Semi-closure, Texas J. Sci. 22(2-3) (1971), 99–112.
  • [4] K. Dlaska, N. Ergun, M. Ganster, On the topology generated by semi-regular sets, Indian J. Pure Appl. Math. 25 (11) (1994), 1163–1170.
  • [5] J. Dugundji, Topology, Allyn and Bacon, Boston 1966.
  • [6] L. Gillman, M. Jerison, Rings of continuous functions, Univ. Series in Higher Math., Van Nostrand, Princeton, New York, 1960.
  • [7] D. S. Janković, On locally irreducible spaces, Ann. Soc. Sci. Bruxelles 97 (2) (1983), 59–72.
  • [8] D. S. Janković, A note on mappings of extremally disconnected spaces, Acta Math. Hung. 46 (1-2) (1985), 83–92.
  • [9] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36–41.
  • [10] S. N. Maheshwari, R. Prasad, Some new separation axioms, Ann. Soc. Sci. Bruxelles, 89 (3) (1975), 395–402.
  • [11] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On pre-continuous and weak pre-continuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47–53.
  • [12] O. Njåstad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961–970.
  • [13] T. Noiri, On semi-continuous mappings, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (8) 54 (1973), 210–214.
  • [14] T. Noiri, A note on s-regular spaces, Glas. Mat. 13(33) (1) (1978), 107–110.
  • [15] T. Noiri, On α-continuous functions, Časopis Pěst. Mat. 109 (1984), 118–126.
  • [16] T. Noiri, Characterization of extremally disconnected spaces, Indian J. Pure Appl. Math. 19 (4) (1988), 325–329.
  • [17] I. L. Reilly, M. K. Vamanamurthy, Connectedness and strong semi-continuity, Časopis Pěst. Mat. 109 (1984), 261–265.
  • [18] D. Sivaraj, A note on extremally disconnected spaces, Indian J. Pure Appl. Math. 17 (12) (1986), 1373–1375.
  • [19] S. F. Tadros, A. B. Khalaf, On regular semi-open sets and s∗-closed spaces, Tamkang J. Math. 23 (4) (1992), 337–348.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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