#### Volume 20, issue 3 (2020)

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Cohomological correspondence categories

### Andrei Druzhinin and Håkon Kolderup

Algebraic & Geometric Topology 20 (2020) 1487–1541
##### Abstract

We prove that homotopy invariance and cancellation properties are satisfied by any category of correspondences that is defined, via Calmès and Fasel’s construction, by an underlying cohomology theory. In particular, this includes any category of correspondences arising from the cohomology theory defined by an $MSL$–algebra.

##### Keywords
correspondences, motives, motivic homotopy theory
##### Mathematical Subject Classification 2010
Primary: 14F42, 19E15
Secondary: 14F05, 14F35