Simplicial resolutions and Ganea fibrations
| dc.creator | Kahl, Thomas | |
| dc.creator | Scheerer, Hans | |
| dc.creator | Tanré, Daniel | |
| dc.creator | Vandembroucq, Lucile | |
| dc.date | 2007-10-28 | |
| dc.date.accessioned | 2026-07-07T08:39:08Z | |
| dc.date.available | 2026-07-07T08:39:08Z | |
| dc.description | In this work, we compare the two approximations of a path-connected space $X$, by the Ganea spaces $G_n(X)$ and by the realizations $\|Λ_\bullet X\|_{n}$ of the truncated simplicial resolutions emerging from the loop-suspension cotriple $ΣΩ$. For a simply connected space $X$, we construct maps $\|Λ_\bullet X\|_{n-1}\to G_n(X)\to \|Λ_\bullet X\|_{n}$ over $X$, up to homotopy. In the case $n=2$, we prove the existence of a map $G_2(X)\to\|Λ_\bullet X\|_{1}$ over $X$ (up to homotopy) and conjecture that this map exists for any $n$. | |
| dc.identifier | https://arxiv.org/abs/0710.5289 | |
| dc.identifier | http://arxiv.org/abs/0710.5289 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140970 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P99; 55M30 | |
| dc.title | Simplicial resolutions and Ganea fibrations | |
| dc.type | text |