EPTFilters in Topology - Page 2
| Blogs > Plexa |
|
Wonders
Australia753 Posts
| ||
Plexa
Aotearoa39261 Posts
On December 17 2010 12:59 Klockan3 wrote: F.3 is wrong, it should be "then" and not "and". Thanks  On December 17 2010 15:33 Wonders wrote: Is this written for a "layman" with some experience in mathematics but not convergence spaces in particular? Presumably it is, since in your own words it's all the baby stuff - background information. If so then perhaps you could motivate the definition of a filter a bit more, maybe by first looking at an example where sequences aren't sufficient to define continuity, or by defining a net first. It's just a suggestion, since after reading the first few pages I still have no idea why on earth you'd ever want a filter. Either nets or filters suffice as a generalisation (and indeed, they're equivalent). I think including a motivating example at the beginning would be a good idea though (although imo the rewards for dealing with compactness using filters is justification enough :D!). | ||
|
Wonders
Australia753 Posts
| ||
| ||
