论文标题

替代超覆盖物

An alternative to hypercovers

论文作者

Macpherson, Andrew W.

论文摘要

我在一个名为“ Atlases”的格罗氏菌站点中介绍了一类图表,该图表可用于研究超散发体,并表明Hypersheaves使用索引的“神经”结构将Atlases带到限制,从而产生了从地图酶中产生HyperCovers的构建。地图酶的灵活性同时比超植物更明确,更普遍。

I introduce a class of diagrams in a Grothendieck site called "atlases" which can be used to study hyperdescent, and show that hypersheaves take atlases to limits using an indexed `nerve' construction that produces hypercovers from atlases. Atlases have the flexibility to be at the same time more explicit and more universal than hypercovers.

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