Amenable category and complexity

Capovilla, Pietro; Löh, Clara; Moraschini, Marco

doi:10.2140/agt.2022.22.1417

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Amenable category and complexity

Pietro Capovilla, Clara Löh and Marco Moraschini

Algebraic & Geometric Topology 22 (2022) 1417–1459

DOI: 10.2140/agt.2022.22.1417

Abstract

The amenable category is a variant of the Lusternik–Schnirelman category, based on covers by amenable open subsets. We study the monotonicity problem for degree-one maps and the amenable category, and the relation between the amenable category and topological complexity.

Keywords

amenable category, topological complexity, bounded cohomology, classifying spaces of families of subgroups

Mathematical Subject Classification

Primary: 18G90, 55N10

References

Publication

Received: 9 December 2020

Revised: 26 February 2021

Accepted: 18 March 2021

Published: 25 August 2022

Authors

Pietro Capovilla
Fakultät für Mathematik Universität Regensburg Regensburg Germany	Scuola Normale Superiore Pisa Italy

Clara Löh
Fakultät für Mathematik Universität Regensburg Regensburg Germany

Marco Moraschini
Fakultät für Mathematik Universität Regensburg Regensburg Germany	Dipartimento di Matematica Università di Bologna Bologna Italy

Volume 22, issue 3 (2022)