NDLI: Higher descent data as a homotopy limit

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Content Provider	Springer Nature Link
Author	Prasma, Matan
Copyright Year	2013
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. Our techniques apply to the case of $$n$$ -groupoids as well thus providing an analogous presentation of “descent data” in higher dimensions.
Starting Page	189
Ending Page	203
Page Count	15
File Format	PDF
ISSN	21938407
Journal	Journal of Homotopy and Related Structures
Volume Number	10
Issue Number	2
e-ISSN	15122891
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-08-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Algebra Functional Analysis Algebraic Topology Descent data 2-groupoid Number Theory Homotopy limit Algebraic geometry
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Geometry and Topology

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Higher descent data as a homotopy limit