Semi-local simple connectedness of non-collapsing Ricci limit spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Acceso en línea: | |
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| _version_ | 1866908435006619648 |
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| author | Pan, Jiayin Wei, Guofang |
| author_facet | Pan, Jiayin Wei, Guofang |
| contents | Let $X$ be a non-collapsing Ricci limit space and let $x\in X$. We show that for any $ε>0$, there is $r>0$ such that every loop in $B_t(x)$ is contractible in $B_{(1+ε)t}(x)$, where $t\in(0,r]$. In particular, $X$ is semi-locally simply connected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_06877 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Semi-local simple connectedness of non-collapsing Ricci limit spaces Pan, Jiayin Wei, Guofang Differential Geometry Metric Geometry Let $X$ be a non-collapsing Ricci limit space and let $x\in X$. We show that for any $ε>0$, there is $r>0$ such that every loop in $B_t(x)$ is contractible in $B_{(1+ε)t}(x)$, where $t\in(0,r]$. In particular, $X$ is semi-locally simply connected. |
| title | Semi-local simple connectedness of non-collapsing Ricci limit spaces |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/1904.06877 |