manuscripta mathematica

, Volume 38, Issue 3, pp 375–379 | Cite as

σ-kompakte Räume

  • Norbert Brunner


The theorem, that σ-compact spaces are Lindelöf, is equivalent to the countable axiom of choice. Variants of this theorem are compared with weak versions of the axiom of choice.


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    FELGNER, U.: Models of ZF. Springer 1971Google Scholar
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    JEGH, T.: Bemerkungen zu AC. Gasopis p.p.M. 93 (1968), 30–31Google Scholar
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    LUTZER, D.J.: Pixley-Roy topology. Top. Proc. 3 (1978), 139–158Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Norbert Brunner
    • 1
  1. 1.Baden

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