In the theory of motives à la Voevodsky, the Nisnevich topology on smooth schemes
is used as an important building block. We introduce a Grothendieck topology on
proper modulus pairs, which is used to construct a non-homotopy-invariant
generalization of motives. We also prove that the topology satisfies similar properties
to the Nisnevich topology.
Keywords
Nisnevich topology, cd-structure, modulus pairs, motives
with modulus
