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The Verdier Hypercovering Theorem
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2010 |
| Abstract | This note gives a simple cocycle-theoretic proof of the Verdier hypercovering theorem. This theorem approximates morphisms [X,Y ] in the homotopy category of simplicial sheaves or presheaves by simplicial homotopy classes of maps, in the case where Y is locally fibrant. The statement proved in this paper is a generalization of the standard Verdier hypercovering result in that it is pointed (in a very broad sense) and there is no requirement for the source object X to be locally fibrant. Mathematics Department, University of Western Ontario, London, ON N6A 5B7 e-mail: jardine@uwo.ca Received by the editors May 11, 2009; revised December 2, 2009. Published electronically May 17, 2011. AMS subject classification: 14F35, 18G30, 55U35. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.uwo.ca/~jardine/papers/preprints/Verdier4.pdf |
| Alternate Webpage(s) | https://cms.math.ca/cmb/abstract/pdf/150633.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Bell's theorem Calculi Class Index List of toolkits Map Mast/Stem Cell Growth Factor Receptor Kit, human Simplicial complex Stalking (behavior) |
| Content Type | Text |
| Resource Type | Article |
