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Journal Articles Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Year : 2021

Sphere theorems for RCD and stratified 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. We also get an improved sphere theorem in the case of Einstein stratified spaces.
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Dates and versions

hal-04297938 , version 1 (08-07-2019)
hal-04297938 , version 2 (21-11-2023)

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Shouhei Honda, Ilaria Mondello. Sphere theorems for RCD and stratified spaces. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2021, 22, pp.903-923. ⟨10.2422/2036-2145.201908_005⟩. ⟨hal-04297938v2⟩
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