Talk:Nowhere-dense set

The original article uses the terminology boundary set for sets which are complements of dense sets. Since I never heard it before and I could not find it in a textbook, I have omitted it. Camillo (talk) 19:15, 22 September 2012 (CEST)

"if infinitely many factors are non compact, then any compact subset of X is nowhere dense" — really so? Or only if Hausdorff? --Boris Tsirelson (talk) 20:13, 22 September 2012 (CEST) Yes, only if Hausdorff; otherwise a compact set can be dense! I have a counterexample. --Boris Tsirelson (talk) 08:45, 23 September 2012 (CEST)