Timeline for Looking for references talking about category of topological vector spaces
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Aug 8, 2010 at 11:23 | answer | added | Andreas Thom | timeline score: 4 | |
| Jul 22, 2010 at 10:31 | comment | added | Andrew Stacey | Thinking more, I'm not sure what you're looking for. Do you want to know how to form limits and colimits in the category of TVS? If so, that's covered in any of the standard texts. Or do you want something more? You seem to imply such at the start, but then your motivation suggests that you are really just interested in the direct construction. | |
| Jul 22, 2010 at 9:07 | comment | added | Andrew Stacey | Do you want to restrict to locally convex TVS, or do you really want all TVS? | |
| Jul 22, 2010 at 4:43 | comment | added | santker heboln | Is this helpful to you? www.mathematik.uni-trier.de:8080/abteilung/analysis/HomAlg.pdf | |
| Jul 22, 2010 at 0:11 | comment | added | Yemon Choi | OK, last one for now: if you have seen Prosmans' memoir/article, presumably you are also aware of the long article/exposition of Jean-Pierre Schneiders? | |
| Jul 22, 2010 at 0:10 | history | edited | Yemon Choi |
added func-an tag
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| Jul 22, 2010 at 0:09 | comment | added | Yemon Choi | A second not very useful comment: my impression, although I do not know the literature all that well, is that much of the categorical machinery for these quasi-abelian categories (in older work of Raikov they are called semi-abelian categories, this seems not to be usefully related to Borceux-Bourn et al's definition of semi-abelian) is somehow "folklore" or "done on an ad hoc basis". It is Stuff Every Functional Analyst Picks Up, but I don't know where the categorical aspects are explicitly written down | |
| Jul 22, 2010 at 0:06 | comment | added | Yemon Choi | Let me just make a quick and not very useful comment: I suspect that references motivated by p-adic (functional) analysis will be very different in content and approach from references motivated by problems over the real/complex field. | |
| Jul 21, 2010 at 22:36 | history | asked | Shizhuo Zhang | CC BY-SA 2.5 |