The derived category of a locally compact space is rarely smooth
Algebraic Topology
2026-04-28 v2
Abstract
We show that the derived category of a locally compact Hausdorff space is smooth in the sense of non-commutative geometry if and only if is discrete and finite.
Keywords
Cite
@article{arxiv.2311.03121,
title = {The derived category of a locally compact space is rarely smooth},
author = {Oscar Harr},
journal= {arXiv preprint arXiv:2311.03121},
year = {2026}
}
Comments
Corrects mistake found by anonymous referee, significantly changing the article. 3 pages, comments welcome