Iterated wreath product of the simplex category and iterated loop spaces
| dc.creator | Berger, Clemens | |
| dc.date | 2005-12-26 | |
| dc.date | 2006-07-04 | |
| dc.date.accessioned | 2026-07-07T08:54:54Z | |
| dc.date.available | 2026-07-07T08:54:54Z | |
| dc.description | Generalising Segal's approach to 1-fold loop spaces, the homotopy theory of $n$-fold loop spaces is shown to be equivalent to the homotopy theory of reduced $Θ_n$-spaces, where $Θ_n$ is an iterated wreath product of the simplex category $Δ$. A sequence of functors from $Θ_n$ to $Γ$ allows for an alternative description of the Segal-spectrum associated to a $Γ$-space. In particular, each Eilenberg-MacLane space $K(π,n)$ has a canonical reduced $Θ_n$-set model. | |
| dc.identifier | https://arxiv.org/abs/math/0512575 | |
| dc.identifier | http://arxiv.org/abs/math/0512575 | |
| dc.identifier | Adv. Math. 213 (2007) 230-270 | |
| dc.identifier | doi:10.1016/j.aim.2006.12.006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146106 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 18G30; 55P48; 18G55; 55P20 | |
| dc.title | Iterated wreath product of the simplex category and iterated loop spaces | |
| dc.type | text |