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A Survey on Wallman Bases

  • García-Máynez, Adalberto [1]
    1. [1] Universidad Nacional Autónoma
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 8, Nº. 2, 2007, págs. 223-237
  • Idioma: inglés
  • DOI: 10.4995/agt.2007.1886
  • Enlaces
  • Resumen
    • Wallman bases are frequently used in compactification processes of topological spaces. However, they are also related with quasi–uniform structures and they are useful to characterize some topological properties. We present a brief survey on the subject which supports these statements.

  • Referencias bibliográficas
    • Á. Császár, Fondements de la topologie générale, Budapest-Paris, 1960.
    • J. Dujundji, Topology, Allyn and Bacon, Inc., Boston, 1966.
    • A. García–Máynez and A. Tamariz, Topología General, Porrúa, México, 1988.
    • A. García–Máynez, Property C, Wallman bases and S–metrizability, Topology and its Applications 12 (1981), 237–246. http://dx.doi.org/10.1016/0166-8641(81)90002-X
    • A. García–Máynez, On Wallman bases and compactifications, Boletín de la Sociedad Matemática Mexicana 3a serie Vol 11, 2 (2005), 283–292.
    • S. García, Ferreira S. and A. García–Máynez, On weakly-pseudocompact spaces, Houston Journal of Mathematics. 20 (1994), 145–159.
    • T. Kimura, The Stone– Cech compactifications, the Stone–ˇCech remainder and the regular Wallman property, Proc. Amer. Math. Soc. 99 (1987),...
    • H. P. A. Künzi, Topological spaces with a unique compatible quasi–uniformity, Canad. Math. Bull. 29 (1986), 40–43. http://dx.doi.org/10.4153/CMB-1986-007-3
    • W. J. Pervin, Quasi–uniformization of topological spaces, Math. Ann. 147 (1962), 316–317. http://dx.doi.org/10.1007/BF01440953
    • S. Romaguera and M. A. Sánchez-Granero, A quasi–uniform Characterization of Wallman type compactifications, Studia Sci. Math. Hungar. 40 (2003),...
    • C. R. Solomon, A Hausdorff compactification that is not regular Wallman, General Topology and its Applications 7 (1977), 59–63. http://dx.doi.org/10.1016/0016-660X(77)90007-1
    • L. A. Steen and J. A. Jr. Seebach, Counterexamples in Topology, Springer-Verlag, New York, 2nd. edition, 1970.
    • E. F. Steiner, Wallman spaces and compactifications, Fundamenta Mathematicae 61 (1968), 295–304.
    • A. K. Steiner and E. F. Steiner, Products of compact metric spaces are regular Wallman, Indag. Math. 30 (1968), 428–430.
    • A. K. Steiner and E. F. Steiner, On the reduction of the Wallman compactification problem to discrete spaces, General Topology and its Applications...
    • V. M. Ul’janov, Solution of the fundamental problem of bicompact extensions of Wallman type, (Russian) Dokl. Akad. Nauk SSSR. 233(1977), 1056–1059....
    • H. Wallman, Lattices and topological spaces, Ann. of Math. 39 (1938), 112–126. http://dx.doi.org/10.2307/1968717
    • A. Weil, Sur les espaces á structure uniforme et sur la topologie générale, Paris 1938.

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