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4 - Sections, Cocycles and Group Extensions

Published online by Cambridge University Press:  16 December 2021

Christian Rosendal
Christian Rosendal
Affiliation:
University of Maryland, Baltimore
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Summary

This chapter investigates the coarse structure of extensions of topological groups with a focus on central extensions. A particular example of special interest is the extensions arising from covering maps between manifolds, which are studied in detail.

Keywords

central extensions of topological groupscovering mapsquasi-morphismscocyclesBornologous sectionsultralocal boundedness
Type
Chapter
Information
Coarse Geometry of Topological Groups , pp. 125 - 165
Publisher: Cambridge University Press
Print publication year: 2021

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