The derived category of a locally compact space is rarely smooth

Fuente: arXiv
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Main Author: Harr, Oscar
Format: Preprint
Published: 2023
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author Harr, Oscar
author_facet Harr, Oscar
contents We show that the derived category of a locally compact Hausdorff space $X$ is smooth in the sense of non-commutative geometry if and only if $X$ is discrete and finite.
format Preprint
id arxiv_https___arxiv_org_abs_2311_03121
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The derived category of a locally compact space is rarely smooth
Harr, Oscar
Algebraic Topology
We show that the derived category of a locally compact Hausdorff space $X$ is smooth in the sense of non-commutative geometry if and only if $X$ is discrete and finite.
title The derived category of a locally compact space is rarely smooth
topic Algebraic Topology
url https://arxiv.org/abs/2311.03121