# Luzin Hypothesis and weak CH

1. Dec 17, 2005

### xouper

Regarding the weak continuum hypothesis (B.F. Jones):

$${\displaystyle 2^ {\aleph_{0}} < 2^ {\aleph_{1}}}$$

and the Luzin Hypothesis:

$${\displaystyle 2^ {\aleph_{0}} = 2^ {\aleph_{1}}}$$

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. Jul 22, 2007