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manuscripta mathematica

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

σ-kompakte Räume

  • Norbert Brunner
Article

Abstract

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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Literatur

  1. [1]
    BRUNNER, N.: Sequential compactness. Notre Dame J.F. Logic (to appear)Google Scholar
  2. [2]
    BRUNNER, N.: Dedekind-Endlichkeit. Monatshefte Math. (in print)Google Scholar
  3. [3]
    FELGNER, U.: Models of ZF. Springer 1971Google Scholar
  4. [4]
    JEGH, T.: Bemerkungen zu AC. Gasopis p.p.M. 93 (1968), 30–31Google Scholar
  5. [5]
    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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