Loeh, Clara and Moraschini, Marco and Sauer, Roman (2022) Amenable covers and integral foliated simplicial volume. NEW YORK JOURNAL OF MATHEMATICS, 28. pp. 1112-1136. ISSN 1076-9803,
Full text not available from this repository. (Request a copy)Abstract
In analogy with ordinary simplicial volume, we show that in-tegral foliated simplicial volume of oriented closed connected aspherical n -manifolds that admit an open amenable cover of multiplicity at most n is zero. This implies that the fundamental groups of such manifolds have fixed price and are cheap as well as reproves some statements about homology growth.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LOCALLY SYMMETRIC-SPACES; RANK GRADIENT; COST; COHOMOLOGY; integral foliated simplicial volume; amenable covers; Rokhlin lemma; homology growth |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Jan 2024 09:12 |
| Last Modified: | 09 Jan 2024 09:12 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57095 |
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