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arXiv · 2505.02630

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

Song Sun·Jikang Wang·Junsheng Zhang
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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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Song Sun, Jikang Wang, Junsheng Zhang. 2025-05-05. On the local topology of non-collapsed Ricci bounded limit spaces. https://arxiv.org/abs/2505.02630

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