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First Betti number and collapse

Published 26 Sep 2022 in math.DG and math.MG | (2209.12628v1)

Abstract: We show that when a sequence of Riemannian manifolds collapses under a lower Ricci curvature bound, the first Betti number cannot drop more than the dimension.

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Authors (1)

  1. Sergio Zamora 

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