Return to Question

edited tags

edited Oct 10 2010 at 4:36

set-theory real-analysis lo.logic

view source

asked Oct 9 2010 at 14:33

Andreas Thom
13.1k●1●23●64

Monotone injection of an ordinal into $[0,1]$

This is related to my recent question and would provide a natural positive answer to Question 2. I am sure this must be known to experts.

Question: Is there a monotone injection $(\omega_1,<) \to ([0,1],<)$ ?

set-theory real-analysis