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The p ‐order of topological triangulated categories
Author(s) -
Schwede Stefan
Publication year - 2013
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtt018
Subject(s) - triangulated category , mathematics , order (exchange) , invariant (physics) , pure mathematics , category of topological spaces , topology (electrical circuits) , combinatorics , derived category , functor , topological tensor product , biochemistry , chemistry , finance , functional analysis , gene , economics , mathematical physics
The p ‐order of a triangulated category is an invariant that measures ‘how strongly’ p annihilates objects of the form Y / p . In this paper, we show that the p ‐order of a topological triangulated category is at least p −1; here we call a triangulated category topological if it admits a model as a stable cofibration category. Our main new tools are enrichments of cofibration categories by Δ‐sets; in particular, we generalize the theory of ‘framings’ (or ‘cosimplicial resolutions’) from model categories to cofibration categories.