Topological volumes of fibrations: a note on open covers

Löh, Clara and Moraschini, Marco (2022) Topological volumes of fibrations: a note on open covers. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 152 (5). pp. 1340-1360. ISSN 0308-2105, 1473-7124

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Abstract

We establish a straightforward estimate for the number of open sets with fundamental group constraints needed to cover the total space of fibrations. This leads to vanishing results for simplicial volume and minimal volume entropy, e.g., for certain mapping tori.

Item Type: Article
Uncontrolled Keywords: LOCALLY SYMMETRIC-SPACES; SIMPLICIAL VOLUME; MINIMAL ENTROPY; GROWTH; DECOMPOSITIONS; INVARIANTS; MANIFOLDS; CATEGORY; Amenable category; fibre bundles; simplicial volume; minimal volume entropy
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Clara Löh
Depositing User: Petra Gürster
Date Deposited: 13 Jan 2023 07:03
Last Modified: 13 Jan 2023 07:03
URI: https://pred.uni-regensburg.de/id/eprint/45648

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