A Quillen stability criterion for bounded cohomology

Abstract

We provide a version of Quillen's homological stability criterion for continuous bounded cohomology. This criterion is exploited in the companion paper (arXiv:2201.03879) in order to derive new bounded cohomological stability results for various families of classical groups.Comment: This is an extended and revised version of parts of (arXiv:2201.03879), which has been split into two parts for better legibilit