Timeline for Find a certain triangulation subordinate to a given covering of a manifold
Current License: CC BY-SA 4.0
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| Oct 19, 2018 at 3:48 | comment | added | Andy Putman | For compact manifolds isn’t this just a simple Lebesgue number argument? Fix a metric on the manifold and let e be the Lebesgue number of the cover. Barecentrically subdividing a triangulation enough, we can assume that each simplex has diameter at most e/3. This implies that for all simplices, the e-ball aound a point in the simplex contains it and all simplices touching it. But by the definition of the Lebesgue number the e-ball is contained in some set in the cover. | |
| Oct 18, 2018 at 21:27 | comment | added | Vidit Nanda | arxiv.org/abs/1311.0117 | |
| Oct 18, 2018 at 20:41 | history | edited | Hang | CC BY-SA 4.0 |
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| Oct 18, 2018 at 19:32 | history | edited | Hang | CC BY-SA 4.0 |
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| Oct 18, 2018 at 16:40 | history | edited | Hang | CC BY-SA 4.0 |
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| Oct 18, 2018 at 15:13 | history | edited | Hang | CC BY-SA 4.0 |
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| Oct 18, 2018 at 13:57 | history | edited | Hang | CC BY-SA 4.0 |
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| Oct 18, 2018 at 13:27 | history | asked | Hang | CC BY-SA 4.0 |