Mathematics – Algebraic Topology
Scientific paper
2006-09-30
Mathematics
Algebraic Topology
Ams-latex, 158 pages. Corrections to Thm. 6.4.1 and Def. 7.2.5
Scientific paper
We 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.
No associations
LandOfFree
Cofibrations in Homotopy Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Cofibrations in Homotopy Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cofibrations in Homotopy Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-616386