具有孤立临界点的可微映射在infinite dimensional空间中不一定是开的
Differentiable maps with isolated critical points are not necessarily open in infinite dimensional spaces
摘要：
让圣雷蒙德问是否连续微分地图孤立临界点一定是开放的无限维（希尔伯特）空间。我们回答这个问题的负面构造反例在不同的设置。
英文摘要：
Jean Saint Raymond asked whether continuously differentiable maps with isolated critical points are necessarily open in infinite dimensional (Hilbert) spaces. We answer this question negatively by constructing counterexamples in various settings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
