Amenable covers and relative bounded cohomology
Algebraic Topology
2025-11-20 v3 Geometric Topology
Abstract
We establish a relative version of Gromov's Vanishing Theorem in the presence of amenable open covers with small multiplicity, extending a result of Li, L\"oh, and Moraschini. Our approach relies on Gromov's theory of multicomplexes.
Cite
@article{arxiv.2407.01140,
title = {Amenable covers and relative bounded cohomology},
author = {Pietro Capovilla},
journal= {arXiv preprint arXiv:2407.01140},
year = {2025}
}
Comments
16 pages, 1 figure. Revised version according to the referee's comments. To appear in Proc. Am. Math. Soc