Lindelöf models of the reals: Solution to a problem of Sikorski View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1983-06

AUTHORS

Larry Manevitz, Arnold W. Miller

ABSTRACT

We show that it is consistent with ZFC that there is a modelM of ZF + DC such that the integers ofM areω1-like, the reals ofM have cardinalityω2, and the unit interval [0, 1]M is Lindelöf (i.e. every open cover has a countable subcover). This answers an old question of Sikorski. More... »

PAGES

209-218

References to SciGraph publications

  • 1974-06. Order types, trees, and a problem of Erdős and Hajnal in PERIODICA MATHEMATICA HUNGARICA
  • Journal

    TITLE

    Israel Journal of Mathematics

    ISSUE

    2-3

    VOLUME

    45

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02774017

    DOI

    http://dx.doi.org/10.1007/bf02774017

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1041580921


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