The p‐order of topological triangulated categories

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.