pith. sign in

The derived category of a locally compact space is rarely smooth

· 2023 · math.AT · arXiv 2311.03121

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
open full Pith review browse 1 citing papers arXiv PDF
abstract

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.

fields

math.AT 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Whitehead torsion and the kernel of assembly

math.AT · 2026-04-21 · unverdicted · novelty 6.0

For spaces homeomorphic to finite simplicial complexes, the assembly functor admits a fully faithful right adjoint, yielding a Whitehead category and torsion cosheaf that recover Whitehead torsion via K-theory.

citing papers explorer

Showing 1 of 1 citing paper.

  • Whitehead torsion and the kernel of assembly math.AT · 2026-04-21 · unverdicted · none · ref 2 · internal anchor

    For spaces homeomorphic to finite simplicial complexes, the assembly functor admits a fully faithful right adjoint, yielding a Whitehead category and torsion cosheaf that recover Whitehead torsion via K-theory.