Timeline for What are your favorite concrete examples of limits or colimits that you would compute during lunch?
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Nov 30, 2019 at 2:56 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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Nov 29, 2019 at 21:16 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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Nov 29, 2019 at 20:34 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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Nov 29, 2019 at 18:33 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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Nov 29, 2019 at 18:26 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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Nov 29, 2019 at 18:18 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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Nov 29, 2019 at 18:09 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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Nov 29, 2019 at 17:54 | comment | added | Sergei Akbarov | Todd, yes, the Arens-Michael envelope is a functor. Actually, the term "envelope" that I use is defined in such a way that it usually is a functor, see Theorems 1.20 and 1.21 in this my paper arxiv.org/abs/1110.2013 | |
Nov 29, 2019 at 17:32 | comment | added | Todd Trimble | I don't know the Arens-Michael envelope, but I do know that many constructions described using the word "envelope" are not functorial unless one makes a dramatic adjustment. For example, neither the injective envelope/hull of a module, nor the Dedekind-MacNeille completion of a poset, nor the algebraic closure of a field, are functorial in the ordinary sense. Is the Arens-Michael envelope functorial? | |
Nov 29, 2019 at 16:12 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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Nov 29, 2019 at 16:08 | comment | added | Sergei Akbarov | @AIM_BLB the notion of envelope (Env) is explained in the Wikipedia article en.wikipedia.org/wiki/Envelope_(category_theory) Usually, envelopes can be computed as colimits in the categories. You can look at the papers that are mentioned here and in Wikipedia. If you have some specific questions, ask them here, I'll answer. | |
Nov 29, 2019 at 14:23 | comment | added | ABIM | Could you explain some of the more exotic notation (for non-experts)? | |
Jan 17, 2014 at 21:29 | history | edited | Sergei Akbarov | CC BY-SA 3.0 |
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Jan 17, 2014 at 21:20 | history | edited | Sergei Akbarov | CC BY-SA 3.0 |
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S Jan 17, 2014 at 20:57 | history | answered | Sergei Akbarov | CC BY-SA 3.0 | |
S Jan 17, 2014 at 20:57 | history | made wiki | Post Made Community Wiki by Sergei Akbarov |