Sphere theorems for RCD and stratified spaces

Shouhei Honda; Ilaria Mondello

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arXiv · 1907.03482

Sphere theorems for RCD and stratified spaces

Shouhei Honda·Ilaria Mondello

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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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Shouhei Honda, Ilaria Mondello. 2019-07-08. Sphere theorems for RCD and stratified spaces. https://arxiv.org/abs/1907.03482

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