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Amenable covers and relative bounded cohomology

Published 1 Jul 2024 in math.AT and math.GT | (2407.01140v2)

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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