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Canonical resolutions
in hereditary abelian model categories
James Gillespie |
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Vol. 313 (2021), No. 2, 365–411
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DOI: 10.2140/pjm.2021.313.365
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Abstract |
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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. |
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Keywords
abelian model category, canonical resolution
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Mathematical Subject Classification 2010
Primary: 18E10, 18G25, 18G55
Secondary: 55U35
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Milestones
Received: 13 February 2020
Accepted: 16 March 2021
Published: 12 October 2021
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Authors |
| James Gillespie | |
| School of Theoretical and Applied
Science Ramapo College of New Jersey Mahwah, NJ 07430 United States |
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