We study relationships between the Nisnevich topology on smooth schemes and certain Grothendieck topologies on proper and not necessarily proper modulus pairs which were introduced respectively in  and . Our results play an important role in the theory of sheaves with transfers on proper modulus pairs. This is a revised version of arXiv:1809.05851 [math.AG].
Reference : Nagoya Mathematical Journal https://doi.org/10.1017/nmj.2020.15
ArXiv link : https://arxiv.org/abs/1910.14595