Cofibrations in Homotopy Theory

Simple item page
dc.creatorRadulescu-Banu, Andrei
dc.date2006-09-30
dc.date2009-02-08
dc.date.accessioned2026-07-07T12:38:31Z
dc.date.available2026-07-07T12:38:31Z
dc.descriptionWe define Anderson-Brown-Cisinski (ABC) cofibration categories, and construct homotopy colimits of diagrams of objects in ABC cofibration categories. Homotopy colimits for Quillen model categories are obtained as a particular case. We attach to each ABC cofibration category a left Heller derivator. A dual theory is developed for homotopy limits in ABC fibration categories and for right Heller derivators. These constructions provide a natural framework for 'doing homotopy theory' in ABC (co)fibration categories.
dc.descriptionAms-latex, 158 pages. Corrections to Thm. 6.4.1 and Def. 7.2.5
dc.identifierhttps://arxiv.org/abs/math/0610009
dc.identifierhttp://arxiv.org/abs/math/0610009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218787
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.subject18G55, 55U35, 18G10, 18G30, 55U10
dc.titleCofibrations in Homotopy Theory
dc.typetext

Files

Collections

arXiv