Topological volumes of fibrations: A note on open covers
Geometric Topology
2021-11-10 v3
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.
Keywords
Cite
@article{arxiv.2104.06038,
title = {Topological volumes of fibrations: A note on open covers},
author = {Clara Loeh and Marco Moraschini},
journal= {arXiv preprint arXiv:2104.06038},
year = {2021}
}
Comments
20 pages; minor revisions; To appear in Proc. Roy. Soc. Edinburgh Sect. A