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.
Loh C., Moraschini M. (2022). Topological volumes of fibrations: A note on open covers. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 152(5), 1340-1360 [10.1017/prm.2021.64].
Topological volumes of fibrations: A note on open covers
Moraschini M.
2022
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.File in questo prodotto:
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