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arXiv · 1112.3072

Higher Descent Data as a Homotopy Limit

Matan Prasma
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Abstract

We define the 2-groupoid of descent data assigned to a cosimplicial 2-groupoid and present it as the homotopy limit of the cosimplicial space gotten after applying the 2-nerve in each cosimplicial degree. This can be applied also to the case of $n$-groupoids thus providing an analogous presentation of "descent data" in higher dimensions.

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Matan Prasma. 2011-12-13. Higher Descent Data as a Homotopy Limit. https://arxiv.org/abs/1112.3072

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