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arXiv · 2407.01140

Amenable covers and relative bounded cohomology

Pietro Capovilla
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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.

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Pietro Capovilla. 2024-07-01. Amenable covers and relative bounded cohomology. https://doi.org/10.1090/proc/17087

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