Gluing Restricted Nerves of ∞-categories
نویسندگان
چکیده
In this article, we develop a general technique for gluing subcategories of ∞-categories. We obtain categorical equivalences between simplicial sets associated to certain multisimplicial sets. Such equivalences can be used to construct functors in different contexts. One of our results generalizes Deligne’s gluing theory developed in the construction of the extraordinary pushforward operation in étale cohomology of schemes. Our results are applied in subsequent articles [18,19] to construct Grothendieck’s six operations in étale cohomology of Artin stacks.
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تاریخ انتشار 2015