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On the local topology of non-collapsed Ricci bounded limit spaces

Published 5 May 2025 in math.DG | (2505.02630v1)

Abstract: We show that for a pointed Gromov-Hausdorff limit of non-collapsed Riemannian manifolds with bounded Ricci curvature, the local $b_1$ of the regular loci vanishes. We also discuss applications and some open questions.

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Authors (3)

  1. Song Sun 
  2. Jikang Wang 
  3. Junsheng Zhang 

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