| 单词 | Dehn's Lemma |
| 释义 | Dehn's LemmaIf you have an embedding of a 1-Sphere in a 3-Manifold which exists continuously over the 2-Disk,then it also extends over the Disk as an embedding. It was proposed by Dehn in 1910, but a correct proof was notobtained until the work of Papakyriakopoulos (1957ab).
Hempel, J. 3-Manifolds. Princeton, NJ: Princeton University Press, 1976. Papakyriakopoulos, C. D. ``On Dehn's Lemma and the Asphericity of Knots.'' Proc. Nat. Acad. Sci. USA 43, 169-172, 1957a. Papakyriakopoulos, C. D. ``On Dehn's Lemma and the Asphericity of Knots.'' Ann. Math. 66, 1-26, 1957b. Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 100-101, 1976. |
| 随便看 |
|
数学辞典收录了8975条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。