Aschbacher, M. and Segev, Y. (1992) Locally connected simplicial maps. Israel Journal of Mathematics, 77 (3). pp. 285-303. ISSN 0021-2172. doi:10.1007/bf02773693. https://resolver.caltech.edu/CaltechAUTHORS:20200512-125900851
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Abstract
In Propositions 1.6 and 7.6 of his paper onp-group complexes of finite groups [5], Quillen establishes fundamental results comparing the homology and the fundamental group of the order complexes of posetsP, Q admitting a mapf :P →Q of posets with good local behavior. We prove the analogue of Quillen’s results for mapsf :K→L of simplicial complexesK andL in a more general setup.
| Item Type: | Article | ||||||||
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| Additional Information: | © 1992 Springer-Verlag. Received 05 May 1991; Revised 11 November 1991; Issue Date October 1992. This work was partially supported by BSF 88-00164. The first author is partially supported by NSF DMS-8721480 and NSA MDA90-88-H-2032. | ||||||||
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| Subject Keywords: | Fundamental Group; Local System; Simplicial Complex; Order Complex; Connect SIMPLICIAL | ||||||||
| Issue or Number: | 3 | ||||||||
| DOI: | 10.1007/bf02773693 | ||||||||
| Record Number: | CaltechAUTHORS:20200512-125900851 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200512-125900851 | ||||||||
| Official Citation: | Aschbacher, M., Segev, Y. Locally connected simplicial maps. Israel J. Math. 77, 285–303 (1992). https://doi.org/10.1007/BF02773693 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 103143 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Tony Diaz | ||||||||
| Deposited On: | 12 May 2020 20:56 | ||||||||
| Last Modified: | 16 Nov 2021 18:18 |
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