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On an algebraic version of Tamano’s theorem

  • Buzyakova, Raushan Z. [1]
    1. [1] University of North Carolina Greensboro
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 10, Nº. 2, 2009, págs. 221-225
  • Idioma: inglés
  • DOI: 10.4995/agt.2009.1735
  • Enlaces
  • Resumen
    • Let X be a non-paracompact subspace of a linearly ordered topological space. We prove, in particular, that if a Hausdorff topological group G contains closed copies of X and a Hausdorff compactification bX of X then G is not normal. The theorem also holds in the class of monotonically normal spaces.

  • Referencias bibliográficas
    • Z. Balogh and M. E. Rudin, Monotone normality, Topology Appl. 47 (1992), no. 2, 115–127.
    • R. Z. Buzyakova, Ordinals in topological groups, Fund. Math. 196 (2007), no. 2, 127–138.
    • D. J. Lutzer, Ordered topological spaces, Surveys in general topology, pp. 247–295, Academic Press, New York-London-Toronto, Ont., 1980.
    • O. V. Sipacheva, The topology of free topological group, Fundam. Prikl. Mat. 9 (2003), no. 2, 99–204; English translation in J. Math. Sci....
    • H. Tamano, On paracompactness, Pacific J. Math. 10 (1960) 1043–1047. http://dx.doi.org/10.2140/pjm.1960.10.1043

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