Amenable covers and relative bounded cohomology
arXiv:2407.01140 · doi:10.1090/proc/17087
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, Löh, and Moraschini. Our approach relies on Gromov's theory of multicomplexes.
16 pages, 1 figure. Revised version according to the referee's comments. To appear in Proc. Am. Math. Soc