Hi, I have recently encountered these two definitions of a sequential space (http://en.wikipedia.org/wiki/Sequential_space) and a space of countable tightness (http://en.wikipedia.org/wiki/Countably_generated_space). And I seem to have difficulty understanding what is the difference between these two definitions. For example, I know that the space of ultrafilters over ,say, R or N is not weakly Frechet Urysohn so it should not be sequential. But how can one show it directly from the definition? Also, Does these spaces have countble tightness? Thanks!
The difference between a sequential space ti a space with counable tightness
tali11
- 89
- 3