流形的浸入
Immersions of manifolds
摘要：
本文基于我在2022年7月17日举行的科普会议“黑暗几何节”上的演讲，该会议与几何方法及其应用有关。我们将讨论Smal-Hirsch定理。为此目的，我们将处理这个定理的最简单的部分情况-Whitney-Graustein定理在正则曲线在平面上。本文是写在一个访问，有时非正式的方式，它主要是为人们谁是有兴趣的数学，但还没有深入研究。
英文摘要：
This text is based on my talk at the popular science conference ``Dark geometry fest'' which was related to geometric methods and their applications, July 17, 2022. We will move towards the Smale-Hirsch theorem. To this end we will deal with the simplest partial case of this theorem -- the Whitney-Graustein theorem on regular curves in the plane. The text is written in an accessible and sometimes informal way, it is intended primarily for people who are interested in mathematics, but have not yet studied it deeply enough.
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。
