## Nisnevich topology with modulus

#### Hiroyasu Miyazaki

In Voevodsky's theory of motives, the Nisnevich topology on smooth schemes is used as an important building block. In this paper, we introduce a Grothendieck topology on proper modulus pairs, which will be used to construct a non-homotopy invariant generalization of motives. We also prove that the topology satisfies similar properties to the Nisnevich topology.

Reference : Annals of K-theory 10.2140/akt.2020.5.581