Communications in Analysis and Geometry

Volume 28 (2020)

Number 7

Errata to “Smooth convergence away from singular sets”

Pages: 1755 – 1772



Sajjad Lakzian (Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran)

Christina Sormani (City University of New York (CUNY) Graduate Center and Lehman College, New York, N.Y., U.S.A.)


Seven years after the publication of “Smooth convergence away from singular sets” [Communications in Analysis and Geometry 21 (2013), no. 1, 39‑104], Brian Allen discovered a counter example to the published statement of Theorem 1.3. Note that Theorem 4.6 (which is the key theorem cited in other papers) remains correct. We have added an hypothesis to correct the statement of Theorem 1.3 and its consequences, and provide a detailed proof and explanation of the error within as well as presenting Brian Allen’s example in the Appendix. We have also made corrections to the arxiv posting of this paper.

Received 2 October 2020

Accepted 26 November 2020

Published 7 December 2020