Monthly Archives: October 2014

Accumulation without converging subsequence

Posted on 2014/10/13 by dominiczypen

“Any sequence with an accumulation point also has a subsequence converging to that point” — right? I believed this until yesterday when I stumbled over the following curious, and countable, Hausdorff space. Endow with the following topology: is given the … Continue reading →

Posted in Point-set topology | 2 Comments