Smooth convergence away from singular sets (vol 21, pg 39, 2013)

摘要

Seven years after the publication of "Smooth convergence away from singular sets" [LS13], 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.