Abstract In our previous article [1] , a functor was constructed from an ∞-category of ( ∞ , n ) -categories to space-valued invariants on vari-framed stratified n-manifolds. This functor was asserted to be fully-faithful, based on a calculation that a space of conically smooth diffeomorphisms of a hemispherically stratified n-disk that preserve a vari-framing is contractible. This core calculation is false in dimensions n ≥ 3 , and the functor is not fully-faithful in dimensions n ≥ 3 .

中文翻译：

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“分解同源性 I：更高类别”的更正 [Adv. 数学。333 (2018) 1042–1177]

摘要 在我们之前的文章 [1] 中，函子是从 ( ∞ , n ) 类的 ∞ 类到可变框架分层 n 流形上的空间值不变量构建的。这个函子被断言是完全忠实的，基于这样一个计算，即保留可变框架的半球分层 n 圆盘的圆锥光滑微分同胚空间是可收缩的。这个核心计算在维度 n ≥ 3 上是错误的，并且函子在维度 n ≥ 3 上不是完全忠实的。