3 papers
math.AT2026
Whitehead torsion and the kernel of assembly
Oscar Harr
For a topological space that is homeomorphic to a finite simplicial complex, we prove that the Bartels--Nikolaus assembly functor has a fully faithful right adjoint. Using this, we…
math.AT2023
The derived category of a locally compact space is rarely smooth
Oscar Harr
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.
math.AT2023
Compact sheaves on a locally compact space
Oscar Harr
We describe the compact objects in the -category of -valued sheaves on a hypercomplete locally compact Hausdorff space , for $\ma…