Controlled K-theory I: Basic theory
| dc.creator | Quinn, Frank | |
| dc.date | 2004-02-24 | |
| dc.date | 2005-09-19 | |
| dc.date.accessioned | 2026-07-07T06:18:07Z | |
| dc.date.available | 2026-07-07T06:18:07Z | |
| dc.description | This paper provides a full controlled version of algebraic $K$-theory. This includes a rich array of assembly maps; the controlled assembly isomorphism theorem identifying the controlled group with homology; and the stability theorem describing the behavior of the inverse limit as the control parameter goes to 0. There is a careful treatment of spectral cosheaf homology and related tools, including an ``iterated homology identity'' giving a spectrum-level version of the Leray-Serre spectral sequence. | |
| dc.description | 64 pages AMSTex with xypic. Revision omits material now in math.KT/0509294 | |
| dc.identifier | https://arxiv.org/abs/math/0402396 | |
| dc.identifier | http://arxiv.org/abs/math/0402396 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94628 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Geometric Topology | |
| dc.subject | 19D99,55N20, 57N80 | |
| dc.title | Controlled K-theory I: Basic theory | |
| dc.type | text |