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Higher Segal spaces I

Abstract:

This is the first paper in a series on new higher categorical structures called higher Segal spaces. For every d > 0, we introduce the notion of a d-Segal space which is a simplicial space satisfying locality conditions related to triangulations of cyclic polytopes of dimension d. In the case d=1, we recover Rezk's theory of Segal spaces. The present paper focuses on 2-Segal spaces. The starting point of the theory is the observation that Hall algebras, as previously studied, are only the ...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publication date:
2012-12-14
Source identifiers:
400561
Keywords:
Pubs id:
pubs:400561
UUID:
uuid:8f25a096-7aa6-4520-b4ac-9226f5c33f4e
Local pid:
pubs:400561
Deposit date:
2013-11-16

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