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Errata to “Smooth convergence away from singular sets”
Communications in Analysis and Geometry ( IF 0.7 ) Pub Date : 2020-11-01 Sajjad Lakzian, Christina Sormani
Communications in Analysis and Geometry ( IF 0.7 ) Pub Date : 2020-11-01 Sajjad Lakzian, Christina Sormani
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.
中文翻译:
勘误表“使平滑收敛远离奇异集”
在“从奇异集上平滑收敛” [解析与几何通讯 21 (2013),第7号]出版七年后。[1,39‑104],布莱恩·艾伦(Brian Allen)发现了与已发布的定理1.3陈述相反的例子。请注意,定理4.6(这是其他论文中引用的关键定理)仍然正确。我们添加了一个假设来纠正定理1.3的陈述及其后果,并提供了有关错误的详细证明和解释,并在附录中介绍了Brian Allen的示例。我们还对本文的arxiv发布进行了更正。
更新日期:2020-12-07
中文翻译:
勘误表“使平滑收敛远离奇异集”
在“从奇异集上平滑收敛” [解析与几何通讯 21 (2013),第7号]出版七年后。[1,39‑104],布莱恩·艾伦(Brian Allen)发现了与已发布的定理1.3陈述相反的例子。请注意,定理4.6(这是其他论文中引用的关键定理)仍然正确。我们添加了一个假设来纠正定理1.3的陈述及其后果,并提供了有关错误的详细证明和解释,并在附录中介绍了Brian Allen的示例。我们还对本文的arxiv发布进行了更正。