Discrete Localities I

Alex Gonzalez; Andy Chermak

Discrete Localities I

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arxiv 1702.02595 v4 pith:U3QKWP6Z submitted 2017-02-08 math.GR

Andy Chermak , Alex Gonzalez This is my paper · ORCID

classification math.GR

keywords discretelocalitiesbrotocompactdevelopgeneralizegroupslevi

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This is part I of a three-part series of papers, whose aim is to develop a theory of discrete localities. These generalize the p-local compact groups of Broto, Levi, and Oliver.

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Higher Segal spaces and partial groups
math.GR 2025-07 conditional novelty 7.0 of 10

The higher Segal degree of a partial groupoid equals the Helly number of the closure space of a characteristic action, and the method gives explicit degrees for punctured Weyl groups.

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