A simplicial model for proper homotopy types
| dc.creator | Luu, Viêt-Trung | |
| dc.date | 2008-12-05 | |
| dc.date | 2009-03-04 | |
| dc.date.accessioned | 2026-07-07T12:48:28Z | |
| dc.date.available | 2026-07-07T12:48:28Z | |
| dc.description | The singular simplicial set Sing(X) of a space X completely captures its weak homotopy type. We introduce a category of_controlled sets_, yielding _simplicial controlled sets_, such that one can functorially produce a singular simplicial controlled set CSing(MaxCtl(X)) from a locally compact X. We then argue that this CSing(MaxCtl(X)) captures the (weak)_proper_ homotopy type of X. Moreover, our techniques strictly generalize the classical simplicial situation: e.g., one obtains, in a unified way, singular homology with compact supports and (Borel-Moore) singular homology with locally finite supports, as well as the corresponding cohomologies. | |
| dc.description | 9 pages; minor corrections and changes in notation | |
| dc.identifier | https://arxiv.org/abs/0812.1138 | |
| dc.identifier | http://arxiv.org/abs/0812.1138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222062 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 55P57 (Primary), 18G30, 55U10, 55N10 (Secondary) | |
| dc.title | A simplicial model for proper homotopy types | |
| dc.type | text |