Sphere theorems for RCD and stratified spaces

Shouhei Honda, Ilaria Mondello

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)903-923
Number of pages21
JournalAnnali della Scuola Normale Superiore di Pisa - Classe di Scienze
Issue number2
Publication statusPublished - 2021

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Mathematics (miscellaneous)


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