TY - JOUR
T1 - Sphere theorems for RCD and stratified spaces
AU - Honda, Shouhei
AU - Mondello, Ilaria
N1 - Funding Information:
The first author acknowledges supports of the Grantin-Aid for Young Scientists (B) 16K17585 and Grant-in-Aid for Scientific Research (B) of 18H01118. Received July 23, 2019; accepted in revised form March 03, 2020. Published online June 2021.
Publisher Copyright:
© 2021 Scuola Normale Superiore. All rights reserved.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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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U2 - 10.2422/2036-2145.201908_005
DO - 10.2422/2036-2145.201908_005
M3 - Article
AN - SCOPUS:85136178090
SN - 0391-173X
VL - 22
SP - 903
EP - 923
JO - Annali della Scuola normale superiore di Pisa - Classe di scienze
JF - Annali della Scuola normale superiore di Pisa - Classe di scienze
IS - 2
ER -