Mapping stacks of topological stacks
| dc.creator | Noohi, Behrang | |
| dc.date | 2008-09-13 | |
| dc.date | 2009-04-22 | |
| dc.date.accessioned | 2026-07-07T13:06:35Z | |
| dc.date.available | 2026-07-07T13:06:35Z | |
| dc.description | We prove that the mapping stack Map(Y,X) of topological stacks X and Y is again a topological stack if Y admits a compact groupoid presentation. If Y admits a locally compact groupoid presentation, we show that Map(Y,X) is a paratopological stack. In particular, it has a classifying space (hence, a natural weak homotopy type). We prove an invariance theorem which shows that the weak homotopy type of the mapping stack Map(Y,X) does not change if we replace X by its classifying space, provided that Y is paracompact topological space. As an example, we describe the loop stack of the classifying stack BG of a topological group G in terms of twisted loop groups of G. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0809.2373 | |
| dc.identifier | http://arxiv.org/abs/0809.2373 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227826 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Algebraic Geometry | |
| dc.title | Mapping stacks of topological stacks | |
| dc.type | text |