论文标题
孤立的超曲面的奇异性
Isolated singularities of hypersurfaces
论文作者
论文摘要
由Seifert和Threlfall引入，圆柱形社区是Lusternik-Schnirelmann理论中必不可少的工具。我们猜想，平滑功能的每个孤立临界点都允许圆柱球邻居。我们表明，猜想对于锥形临界点，角膜合理的临界点以及满足Rothe H假设的关键点是正确的。特别是，至少对于那些不是无限退化的关键点，猜想至少是正确的。
Introduced by Seifert and Threlfall, cylindrical neighborhoods is an essential tool in the Lusternik-Schnirelmann theory. We conjecture that every isolated critical point of a smooth function admits a cylindrical ball neighborhood. We show that the conjecture is true for cone-like critical points, Cornea reasonable critical points, and critical points that satisfy the Rothe H hypothesis. In particular, the conjecture holds true at least for those critical points that are not infinitely degenerate.
