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Amenable category and
complexity
Pietro Capovilla, Clara Löh and Marco Moraschini |
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Algebraic & Geometric Topology 22 (2022) 1417–1459
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Abstract |
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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. |
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Keywords
amenable category, topological complexity, bounded
cohomology, classifying spaces of families of subgroups
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Mathematical Subject Classification
Primary: 18G90, 55N10
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References |
Publication
Received: 9 December 2020
Revised: 26 February 2021
Accepted: 18 March 2021
Published: 25 August 2022
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Authors |
| Pietro Capovilla | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
Scuola Normale Superiore Pisa Italy |
| Clara Löh | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
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| Marco Moraschini | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
Dipartimento di Matematica Università di Bologna Bologna Italy |
