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Let (X, p) be a Ricci limit space. We show that for any 0 and x X, there exists r, depending on and x, so that any loop in Bᵣ (x) is contractible in B_ (x). In particular, X is semi-locally simply connected. Then we show that the generalized Margulis lemma holds for Ricci limit spaces of n-manifolds.
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Jikang Wang (Wed,) studied this question.
synapsesocial.com/papers/6a11be9e00979d6260617374 — DOI: https://doi.org/10.4310/jdg/1729092461
Jikang Wang
Fields Institute for Research in Mathematical Sciences
Journal of Differential Geometry
University of California, Berkeley
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