Semi-local simple connectedness of non-collapsing Ricci limit spaces

  • Jiayin Pan

    University of California, Santa Barbara, USA; The Fields Institute for Research in Mathematical Sciences, Toronto, Canada
  • Guofang Wei

    University of California, Santa Barbara, USA
Semi-local simple connectedness of non-collapsing Ricci limit spaces cover
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Abstract

Let be a non-collapsing Ricci limit space and let . We show that for any , there is such that every loop in is contractible in , where . In particular, is semi-locally simply connected.

Cite this article

Jiayin Pan, Guofang Wei, Semi-local simple connectedness of non-collapsing Ricci limit spaces. J. Eur. Math. Soc. 24 (2022), no. 12, pp. 4027–4062

DOI 10.4171/JEMS/1166