On a notion of maps between orbifolds, I. function spaces
| dc.creator | Chen, Weimin | |
| dc.date | 2006-03-29 | |
| dc.date.accessioned | 2026-07-07T07:07:19Z | |
| dc.date.available | 2026-07-07T07:07:19Z | |
| dc.description | This is the first of a series of papers which are devoted to a comprehensive theory of maps between orbifolds. In this paper, we define the maps in the more general context of orbispaces, and establish several basic results concerning the topological structure of the space of such maps. In particular, we show that the space of such maps of C^r-class between smooth orbifolds has a natural Banach orbifold structure if the domain of the map is compact, generalizing the corresponding result in the manifold case. Motivations and applications of the theory come from string theory and the theory of pseudoholomorphic curves in symplectic orbifolds. | |
| dc.description | Final version, 46 pages. Accepted for publication in Communications in Contemporary Mathematics. A preliminary version of this work is under a different title "A homotopy theory of orbispaces", arXiv: math. AT/0102020 | |
| dc.identifier | https://arxiv.org/abs/math/0603671 | |
| dc.identifier | http://arxiv.org/abs/math/0603671 | |
| dc.identifier | Communications in Contemporary Mathematics {\bf 8} no.5 (2006), 569-620 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110347 | |
| dc.subject | Geometric Topology | |
| dc.subject | Primary 22A22. Secondary 57P99, 58D99, 46T20 | |
| dc.title | On a notion of maps between orbifolds, I. function spaces | |
| dc.type | text |