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A Quillen stability criterion for bounded cohomology

Carlos De la Cruz Mengual and Tobias Hartnick

Algebraic & Geometric Topology 25 (2025) 2317–2341
Abstract

We provide a version of Quillen’s homological stability criterion for continuous bounded cohomology. In the companion paper we exploit this criterion to derive new bounded cohomological stability results for various families of classical groups.

Keywords
homological stability, bounded cohomology
Mathematical Subject Classification
Primary: 20J06
Secondary: 55T25, 57T10
References
Publication
Received: 24 July 2023
Revised: 23 January 2024
Accepted: 24 March 2024
Published: 11 August 2025
Authors
Carlos De la Cruz Mengual
Faculty of Electrical and Computer Engineering
Technion
Haifa
Israel
Tobias Hartnick
Institute of Algebra and Geometry
KIT
Karlsruhe
Germany

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