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- W4378638162 abstract "We study the topology of a Ricci limit space $(X,p)$, which is the Gromov-Hausdorff limit of a sequence of complete $n$-manifolds $(M_i, p_i)$ with $mathrm{Ric}ge -(n-1)$. Our first result shows that, if $M_i$ has Ricci bounded covering geometry, i.e. the local Riemannian universal cover is non-collapsed, then $X$ is semi-locally simply connected. In the process, we establish a slice theorem for isometric pseudo-group actions on a closed ball in the Ricci limit space. In the second result, we give a description of the universal cover of $X$ if $M_i$ has a uniform diameter bound." @default.
- W4378638162 created "2023-05-30" @default.
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- W4378638162 date "2021-03-21" @default.
- W4378638162 modified "2023-10-05" @default.
- W4378638162 title "Some topological results of Ricci limit spaces" @default.
- W4378638162 doi "https://doi.org/10.48550/arxiv.2103.11344" @default.
- W4378638162 hasPublicationYear "2021" @default.
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