Reidemeister移动
在纽结理论中,Reidemeister移动(或Reidemeister变换、Reidemeister moves、简称R变换)是三种纽结的同痕变换,简称R1、R2、R3。[1]
类型一(R1) | 类型二(R2) | 类型三(R3) |
类型甲(R1') |
发音
Reidemeister的发音是“莱德麦斯特”。
参考文献
- ^ Adams, Colin Conrad. The knot book : an elementary introduction to the mathematical theory of knots. Providence, R.I.: American Mathematical Society https://www.worldcat.org/oclc/55633800. [2004]. ISBN 0-8218-3678-1. OCLC 55633800. 缺少或
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阅读
- 跟R变换有关的媒体在:https://commons.wikimedia.org/wiki/Category:Reidemeister_moves (页面存档备份,存于互联网档案馆)
- Alexander, James W.; Briggs, Garland B. (1926), "On types of knotted curves", Annals of Mathematics, 28: 562–586, doi:10.2307/1968399, MR 1502807
- Coward, Alexander; Lackenby, Marc (2014), "An upper bound on Reidemeister moves", American Journal of Mathematics, 136 (4): 1023–1066, arXiv:1104.1882, doi:10.1353/ajm.2014.0027, MR 3245186
- Reidemeister, Kurt (1927), "Elementare Begründung der Knotentheorie", Abh. Math. Sem. Univ. Hamburg, 5 (1): 24–32, doi:10.1007/BF02952507, MR 3069462