Timeline for What is the minimal dimension of a complex realising a group representation?
Current License: CC BY-SA 4.0
9 events
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| Jul 20, 2018 at 8:50 | comment | added | IJL | I have put up what I wrote. I'm sure that most books about $G$-CW-complexes will contain the result, but I don't know of a good reference offhand. | |
| Jul 19, 2018 at 16:48 | comment | added | Gregory Arone | @Ian It sounds interesting, even if it does not quite answer the question. I would encourage you to post your construction in an answer, especially if it is not something that is already in the literature, and you already have it written out :-). | |
| Jul 19, 2018 at 16:24 | comment | added | IJL | If you do not require the complex to be spherical, then any $G$-representation can be realized as $H_1$ of a 2-complex, or as $H_2$ of a simply-connected 3-complex - I got as far as writing this out in detail as an answer before noticing the condition `spherical'. | |
| Jul 18, 2018 at 11:41 | answer | added | IJL | timeline score: 3 | |
| Jul 18, 2018 at 8:10 | history | edited | Gregory Arone | CC BY-SA 4.0 |
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| Jul 16, 2018 at 9:05 | history | edited | Gregory Arone | CC BY-SA 4.0 |
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| Jul 16, 2018 at 7:19 | history | edited | Gregory Arone | CC BY-SA 4.0 |
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| Jul 14, 2018 at 9:26 | history | edited | YCor |
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| Jul 14, 2018 at 8:42 | history | asked | Gregory Arone | CC BY-SA 4.0 |