Timeline for does there exist a generalization of a manifold [closed]
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Mar 13, 2016 at 21:52 | review | Reopen votes | |||
| Mar 13, 2016 at 22:40 | |||||
| Mar 13, 2016 at 16:18 | history | edited | user9072 |
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| Mar 10, 2016 at 17:55 | comment | added | Georg Lehner | @SebastianGoette : What I meant was that ringed spaces (or more generally ringed toposes) are just the right generalization to make sense of the phrase "being locally isomorphic to". Any fixed locally ringed space gives you a notion of "manifolds" modeled on that space. | |
| Mar 10, 2016 at 17:42 | comment | added | dingakur prejamangokur | @DaveLRenfro what can i say, you got me | |
| Mar 10, 2016 at 17:36 | comment | added | Dave L Renfro | See the nearly identically worded mathematics stackexchange question does there exist a generalization of manifold, which was asked 15 hours before this math overflow question was asked. | |
| Mar 10, 2016 at 17:07 | history | closed |
Daniel Loughran paul garrett Wolfgang Stefan Kohl♦ Franz Lemmermeyer |
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| Mar 10, 2016 at 16:32 | comment | added | Sebastian Goette | Could you specify which kind of local model you are thinking about? Topological spaces with particular properties (e.g., Cantor sets), algebraically defined spaces, or maybe Banach spaces? The way the question is currently phrased, it looks too broad for a clear answer. @GeorgLehner I don't think that ringed spaces are the only or the obvious solution here. Typically, you get a huge class of local models (e.g., all affine varieties if you are doing algebraic geometry) instead of "one specified space". Or, you need a severe restriction on the admissible rings. | |
| Mar 10, 2016 at 16:01 | comment | added | Georg Lehner | Yes - the right term to use is that of a ringed space. But this question is better suited for math.stackexchange | |
| Mar 10, 2016 at 15:58 | review | Close votes | |||
| Mar 10, 2016 at 17:07 | |||||
| Mar 10, 2016 at 15:43 | review | First posts | |||
| Mar 10, 2016 at 15:48 | |||||
| Mar 10, 2016 at 15:39 | history | asked | dingakur prejamangokur | CC BY-SA 3.0 |