A Quillen stability criterion for bounded cohomology

De la Cruz Mengual, Carlos¹ ; Hartnick, Tobias²

¹Faculty of Electrical and Computer Engineering, Technion, Haifa, Israel
²Institute of Algebra and Geometry, KIT, Karlsruhe, Germany

Algebraic and Geometric Topology, Tome 25 (2025) no. 4, pp. 2317-2341

Résumé

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.

Détail

DOI : 10.2140/agt.2025.25.2317

Keywords: homological stability, bounded cohomology

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