Amenable covers and relative bounded cohomology

Fuente: arXiv
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Autore principale: Capovilla, Pietro
Natura: Preprint
Pubblicazione: 2024
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author Capovilla, Pietro
author_facet Capovilla, Pietro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01140
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Amenable covers and relative bounded cohomology
Capovilla, Pietro
Algebraic Topology
Geometric Topology
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.
title Amenable covers and relative bounded cohomology
topic Algebraic Topology
Geometric Topology
url https://arxiv.org/abs/2407.01140