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P-Räume und auswahlaxiom

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Abstract

In aP-space the intersection of a wellorderable family of open sets is open (andT 2 holds). The assertion that everyP-space is discrete is equivalent to Keisler's axiom that every set is almost wellorderable. In models ofZ F minus the axiom of choice compact connectedP-spaces exist.

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Literature

  1. Blass A.,A model without ultrafilters, Bull. Acad. Polon.,25 (1977), 329–331.

    MATH  MathSciNet  Google Scholar 

  2. Gillman L., Jerison M.,Rings of continuous functions, Springer, 1976.

  3. Jech T. J.,Axiom of choice, North Holland, 1973.

  4. Keisler H. H.,Model theory for infinitary logic, North Holland, 1971.

  5. Levy A.,Axioms of multiple choice, Fund. Math.,50 (1962), 475–483.

    MATH  MathSciNet  Google Scholar 

  6. Misra A. K.,A topological view of P-spaces, Gen. top. appl.,2 (1972), 349–362.

    Article  Google Scholar 

  7. Soundararajan T.,Weakly Hausdorff spaces, General Topology (Novak), Academia (1971), 301–306.

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Authors and Affiliations

  1. Kaiser-Franz-Ring 22, A-2500, Baden

    Norbert Brunner

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  1. Norbert Brunner
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Brunner, N. P-Räume und auswahlaxiom. Rend. Circ. Mat. Palermo 33, 34–36 (1984). https://doi.org/10.1007/BF02844409

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  • DOI: https://doi.org/10.1007/BF02844409

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