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 in previous papers. Our results play an important role in the theory of sheaves with transfers on proper modulus pairs.

中文翻译：

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方案和模数对的拓扑

我们研究了光滑方案上的 Nisnevich 拓扑与适当且不一定适当的模数对上的某些 Grothendieck 拓扑之间的关系，这些在以前的论文中已经介绍过。我们的结果在适当模量对上的滑轮理论中发挥着重要作用。