2022•arXiv (Cornell University)Open access

$\mathrm{RCD}^{*}(K,N)$ spaces are semi-locally simply connected

Jikang Wang

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Abstract

It was shown by Mondino-Wei that any $\mathrm{RCD}^{*}(K,N)$ space $(X,d,\mathfrak{m})$ has a universal cover. We prove that for any point $x \in X$ and $R>0$, there exists $r

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It was shown by Mondino-Wei that any $\mathrm{RCD}^{*}(K,N)$ space $(X,d,\mathfrak{m})$ has a universal cover. We prove that for any point $x \in X$ and $R>0$, there exists $r

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Available abstract

It was shown by Mondino-Wei that any $\mathrm{RCD}^{*}(K,N)$ space $(X,d,\mathfrak{m})$ has a universal cover. We prove that for any point $x \in X$ and $R>0$, there exists $r

Key concepts: Contractible space, Simply connected space, Covering space, Cover (algebra), Mathematics, Limit (mathematics), Space (punctuation), Combinatorics

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