Bernstein subsets of R

This month, we will start to do Exercise V-5.25 of the red book (Continuous Lattices and Domains), which gives an example of a core-compact, not locally compact space.  That is pretty hard to obtain, really.  This month, we will do the first step of that exercise by constructing Bernstein sets, which are very, very pathological subsets of R.  Read the full post.