The homotopy type of a topological stack
| dc.creator | Ebert, Johannes | |
| dc.date | 2009-01-21 | |
| dc.date.accessioned | 2026-07-07T12:32:34Z | |
| dc.date.available | 2026-07-07T12:32:34Z | |
| dc.description | The notion of the \emph{homotopy type} of a topological stack has been around in the literature for some time. The basic idea is that an atlas $X \to \mathfrak{X}$ of a stack determines a topological groupoid $\mathbb{X}$ with object space $X$. The homotopy type of $\mathfrak{X}$ should be the classifying space $B \mathbb{X}$. The choice of an atlas is not part of the data of a stack and hence it is not immediately clear why this construction of a homotopy type is well-defined, let alone functorial. The purpose of this note is to give an elementary construction of such a homotopy-type functor. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0901.3295 | |
| dc.identifier | http://arxiv.org/abs/0901.3295 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216825 | |
| dc.subject | Algebraic Topology | |
| dc.title | The homotopy type of a topological stack | |
| dc.type | text |