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  • nondiscrete group topology  (1)
  • 2020-2022
  • 1995-1999  (1)
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  • 2020-2022
  • 1995-1999  (1)
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    Electronic Resource
    Electronic Resource
    Topological groups in which each nowhere dense subset is closed (1998)
    Springer
    Mathematical notes 64 (1998), S. 177-180 
    Details
    ISSN: 1573-8876
    Keywords: Abelian group ; metrizable topology ; Booth lemma ; continuum hypothesis ; nowhere dense set ; Martin's axiom ; nondiscrete group topology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Assuming the validity of the combinatorial principlep=c, which follows from Martin's axiom, it is proved that an arbitrary nondiscrete metrizable group topology on an Abelian group can be strengthened to a nondiscrete group topology in which each nowhere dense subset is closed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02310302
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