Topological volumes of fibrations: A note on open covers

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.

arXiv comment20 pages; minor revisions; To appear in Proc. Roy. Soc. Edinburgh Sect. A

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Cited by in corpus (1)

• On the simplicial volume and the Euler characteristic of (aspherical) manifolds