# Metrics on triangulated categories

@article{Neeman2019MetricsOT,
title={Metrics on triangulated categories},
author={Amnon Neeman},
journal={arXiv: Category Theory},
year={2019}
}
• A. Neeman
• Published 5 January 2019
• Mathematics
• arXiv: Category Theory
6 Citations

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. Let X be a ﬁnite-dimensional, noetherian scheme. Antieau, Gepner and Heller conjectured that its derived category of perfect complexes has a bounded t – structure if and only if X is regular. We

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This note proposes a new method to complete a triangulated category, which is based on the notion of a Cauchy sequence. We apply this to categories of perfect complexes. It is shown that the bounded

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The papers [3], [7], [2], [1], [5], [6], and [4] provide the notation and terminology for this paper. We consider metric structures which are systems 〈 a carrier, a distance 〉 where the carrier is a

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Stable cohomotopy groups of Eilenberg-Mac Lane spectra of finite groups are shown to be trivial. This implies that the stable homotopy category, which is large enough to represent ordinary cohomology