Effective generalized Seifert-Van Kampen: how to calculate $ΩX$
| dc.creator | Simpson, Carlos | |
| dc.date | 1997-10-07 | |
| dc.date | 1997-10-19 | |
| dc.date.accessioned | 2026-07-07T05:57:38Z | |
| dc.date.available | 2026-07-07T05:57:38Z | |
| dc.description | Suppose $X$ is a 1-connected simplicial set with finitely many nondegenerate simplices. We give an effective algorithm to calculate a simplicial set with the $n$-type of the loop space $ΩX$. Iterating gives an algorithm to calculate the $π_i(X)$, different from the algorithms already known due to E. Brown and Kan-Curtis. The method is an effective version of the generalized Seifert-Van Kampen theorem of alg-geom/9704006. This can be viewed as a Van Kampen statement concerning the loop space $ΩX$ with its delooping structure. We use Segal's delooping machinery but at the end we speculate on extensions to other delooping machinery. | |
| dc.description | Fixes a notational error in the example: \wedge now replaced by \vee. 40 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9710011 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9710011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88055 | |
| dc.subject | Quantum Algebra | |
| dc.title | Effective generalized Seifert-Van Kampen: how to calculate $ΩX$ | |
| dc.type | text |