Vol. 313, No. 2, 2021

 Recent Issues Vol. 320: 1 Vol. 319: 1  2 Vol. 318: 1  2 Vol. 317: 1  2 Vol. 316: 1  2 Vol. 315: 1  2 Vol. 314: 1  2 Vol. 313: 1  2 Online Archive Volume: Issue:
 The Journal Subscriptions Editorial Board Officers Contacts Submission Guidelines Submission Form Policies for Authors ISSN: 1945-5844 (e-only) ISSN: 0030-8730 (print) Special Issues Author Index To Appear Other MSP Journals
Canonical resolutions in hereditary abelian model categories

James Gillespie

Vol. 313 (2021), No. 2, 365–411
DOI: 10.2140/pjm.2021.313.365
Abstract

Each object of any abelian model category has a canonical resolution, as described in this article. When the model structure is hereditary we show how morphism sets in the associated homotopy category may be realized as cohomology groups computed from these resolutions. We also give an alternative description of the morphism sets in terms of Yoneda Ext groups.

Keywords
abelian model category, canonical resolution
Mathematical Subject Classification 2010
Primary: 18E10, 18G25, 18G55
Secondary: 55U35