Cofibrance and Completion
| dc.creator | Radulescu-Banu, Andrei | |
| dc.date | 2006-12-08 | |
| dc.date.accessioned | 2026-07-07T07:34:45Z | |
| dc.date.available | 2026-07-07T07:34:45Z | |
| dc.description | For a cofibrantly generated Quillen model category, we show that the cofibrant replacement functor constructed using the small object argument admits a cotriple structure. If all acyclic cofibrations are monomorphisms, the fibrant replacement functor constructed using the small object argument admits a triple structure. For a triple in the base category, the associated cosimplicial resolution is not necessarily homotopy invariant. However using a mix of the triple with the cofibrant replacement cotriple we construct a 'homotopically correct' version of the cosimplicial resolution of the triple. This allows us to construct a Bousfield-Kan completion functor with respect to a triple, and for pointed cofibrantly-generated model categories a Bousfield-Kan spectral sequence that computes the relative homotopy groups of the Bousfield-Kan completion of an object. This is the text of my PhD thesis, worked under the supervision of Prof. Haynes Miller, submitted on Feb. 1999 at MIT. | |
| dc.description | This is the text of my PhD thesis, worked under the supervision of Prof. Haynes Miller, submitted on Feb. 1999 at MIT. Ams-latex, 67 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612203 | |
| dc.identifier | http://arxiv.org/abs/math/0612203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119877 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 18G55, 55U35, 18G10, 18G30, 55U10 | |
| dc.title | Cofibrance and Completion | |
| dc.type | text |