Timeline for Learning Topology
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Aug 22, 2017 at 2:34 | comment | added | Duchamp Gérard H. E. | @AndyPutman [Munkres or Kelly (which also dicusses convergence in terms of filters and nets)]---> Did you mean John L. Kelley's General Topology ? available legally here | |
| Sep 11, 2011 at 18:42 | comment | added | Dmitri Pavlov | @Andy: If uniform spaces are a dead end, then how do you complete a non-metrizable topological vector space? | |
| Jul 31, 2010 at 5:28 | comment | added | The Mathemagician | And May's book is way too hard for most beginners and leaves too many topics omitted. | |
| Apr 11, 2010 at 19:04 | comment | added | The Mathemagician | Well,having attended Melvyn Nathanson's seminar where he gave Glaser's proof of Hindman's theorum using ultrafilters,you won't get any arguement from me on thier utility,Harry. I just think nets are easier for beginners since they're such a simple generalization of sequences. | |
| Dec 10, 2009 at 22:28 | comment | added | Harry Gindi | Filters are like nets but better, in my opinion. Also, just because uniform spaces never went anywhere doesn't mean that it's not a good way to deal with spaces that aren't metrisable. | |
| Dec 10, 2009 at 20:27 | comment | added | Andy Putman | I have to strongly disagree with the recommendation of Bourbaki. While parts of Bourbaki have stood the test of time (the volume dealing with Coxeter groups and root systems is still a great source), the volume on general topology has not. It's not "modern" so much as idiosyncratic. For instance, metric spaces are important everywhere in math, while uniform spaces are (almost) a dead end. If you want to learn point-set topology, then you should read Munkres or Kelly (which also dicusses convergence in terms of filters and nets) or Dugundji. In my experience, most students prefer Munkres. | |
| Dec 10, 2009 at 15:30 | history | made wiki | Post Made Community Wiki by Anton Geraschenko | ||
| Dec 10, 2009 at 14:32 | history | edited | Harry Gindi | CC BY-SA 2.5 |
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| Dec 10, 2009 at 14:26 | history | edited | Harry Gindi | CC BY-SA 2.5 |
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| Dec 10, 2009 at 12:07 | history | answered | Harry Gindi | CC BY-SA 2.5 |