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Hausdorff compactifications and zero-one measures II

  • Dimov, Georgi D. [2] ; Tironi, Gino [1]
    1. [1] University of Trieste

      University of Trieste

      Trieste, Italia

    2. [2] University of Sofia
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 3, Nº. 1, 2002, págs. 1-11
  • Idioma: inglés
  • DOI: 10.4995/agt.2002.2106
  • Enlaces
  • Resumen
    • The notion of PBS-sublattice is introduced and, using it, a simplification of the results of [6] and of some results of [5] is obtained. Two propositions concerning Wallman-type compactifications are presented as well.

  • Referencias bibliográficas
    • G. Bachman and R. Cohen, Regular Lattice Measures and Repleteness, Comm. on Pure and Applied Math. 26 (1973), 587-599. http://dx.doi.org/10.1002/cpa.3160260504
    • H. Brandenburg and A. Mysior, Short proof of an internal characterization of complete regularity, Canad. Math. Bull. 27 (4) (1984), 461-462....
    • G. Bachman and P. Stratigos, On the Relation of Lattice Repleteness and C-Real Compactness, Indian J. Pure and Applied Math. 20 (11) (1989),...
    • R. Cohen, Lattice Measures and Topologies, Ann. Mat. Pura Appl. 109 (1976), 147-164. http://dx.doi.org/10.1007/BF02416957
    • G. Dimov and G. Tironi, Compactifications, A-Compactifi cations and Proximities, Ann. Mat. Pura Appl. 169 (1995), 87-108. http://dx.doi.org/10.1007/BF01759350
    • G. Dimov and G. Tironi, Hausdorff Compactifications and Zero-One Measures, Math. Proc. Camb. Phil. Soc. (2001) (to appear).
    • R. Engelking, General Topology, (PWN, Warszawa, 1977).
    • O. Frink, Compactifications and semi-normal spaces, Amer. J. Math. 86 (1964), 602-607. http://dx.doi.org/10.2307/2373025
    • P. T. Johnstone, Stone Spaces, Cambridge Studies in Advanced Math. no. 3 (Cambridge University Press, 1982).
    • J. Kerstan, Eine Charakterisierung der vollstandig regularen Raume, Math. Nachrichten 17 (1958), 27-46. http://dx.doi.org/10.1002/mana.19580170107
    • S. A. Naimpally and B. D. Warrack, Proximity Spaces, (Cambridge Univ. Press, 1970).
    • O. Njastad, On Wallman-type Compactifications, Math. Zeitschr 91 (1966), 267-276. http://dx.doi.org/10.1007/BF01111226
    • Y. M. Smirnoff, On proximity spaces, Mat. Sb. (Russian) 31 (1952), 543-574; Am. Math. Soc. Transl. (English translation) 38 Ser. 2, 5-35.
    • A. Sultan, Measure, compactification and representation, Can. J. Math. 30 (1) (1978), 54-65. http://dx.doi.org/10.4153/CJM-1978-005-5
    • V. M. Ul0janov, Solution of a basic problem on compactifications of Wallman type, Soviet Math. Dokl. 18 (1977), 567-571.
    • H. Wallman, Lattices and topological spaces, Annals of Math. 39 (1938), 112-126. http://dx.doi.org/10.2307/1968717

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