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arXiv · 2008.11912

An alternative to hypercovers

Andrew W. Macpherson
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Abstract

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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Andrew W. Macpherson. 2020-10-12. An alternative to hypercovers. https://arxiv.org/abs/2008.11912

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