Regarding the weak continuum hypothesis (B.F. Jones):(adsbygoogle = window.adsbygoogle || []).push({});

[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)?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Luzin Hypothesis and weak CH

**Physics Forums | Science Articles, Homework Help, Discussion**