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Luzin Hypothesis and weak CH

  1. Dec 17, 2005 #1
    Regarding the weak continuum hypothesis (B.F. Jones):

    [tex]{\displaystyle 2^ {\aleph_{0}} < 2^ {\aleph_{1}}}[/tex]

    and the Luzin Hypothesis:

    [tex]{\displaystyle 2^ {\aleph_{0}} = 2^ {\aleph_{1}}}[/tex]

    Where can I find Bukovsky's paper that shows the Luzin Hypothesis is consistent with set theory? Or perhaps someone can repeat the proof here (or summarize it)?
     
    Last edited: Dec 17, 2005
  2. jcsd
  3. Jul 22, 2007 #2
    Any comments?
     
  4. Jul 22, 2007 #3

    Hurkyl

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    Well, a brief search lead me to

    http://en.wikipedia.org/wiki/Luzin_space

    and then to

    http://en.wikipedia.org/wiki/Martin's_Axiom

    and

    http://en.wikipedia.org/wiki/Rasiowa-Sikorski_lemma


    My best guess would be to start with the things that these articles reference. I've seen a few forcing arguments in topos-theoretic texts, but I don't think I've seen this one specifically.
     
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