SPHERE THEOREMS FOR RCD SPACES

Abstract : We prove topological sphere theorems for RCD(n − 1, n) spaces which generalize Colding's results and Petersen's result to the RCD setting. Such results allow us to get an improved sphere theorem in the case of Einstein stratified spaces.
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https://hal.archives-ouvertes.fr/hal-02176549
Contributor : Ilaria Mondello <>
Submitted on : Monday, July 8, 2019 - 12:00:56 PM
Last modification on : Thursday, July 11, 2019 - 1:15:13 AM

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Shouhei Honda, Ilaria Mondello. SPHERE THEOREMS FOR RCD SPACES. 2019. ⟨hal-02176549⟩

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