On crossing change of knots 結び目の交差交換について
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Bibliographic Information
- Title
-
On crossing change of knots
- Other Title
-
結び目の交差交換について
- Author
-
谷山, 公規
- Author(Another name)
-
タニヤマ, コウキ
- University
-
早稲田大学
- Types of degree
-
博士 (理学)
- Grant ID
-
甲第926号
- Degree year
-
1992-06-18
Note and Description
博士論文
制度:新 ; 文部省報告番号:甲926号 ; 学位の種類:博士(理学) ; 授与年月日:1992-06-18 ; 早大学位記番号:新1820 ; 理工学図書館請求番号:1556
Table of Contents
- Contents / p2 (0004.jp2)
- Introduction / p1 (0006.jp2)
- 1 A partial order of knots / p2 (0007.jp2)
- 1.1 Definitions and results / p2 (0007.jp2)
- 1.2 Basic properties / p5 (0010.jp2)
- 1.3 Proof of Theorem 1.5 / p6 (0011.jp2)
- 1.4 Proof of Theorem 1.6 / p8 (0013.jp2)
- 1.5 Proof of Theorem 1.7 / p15 (0020.jp2)
- 1.6 Proof of Theorem 1.8 / p21 (0026.jp2)
- 1.7 Remarks and questions / p28 (0033.jp2)
- 2 A partial order of links / p30 (0035.jp2)
- 2.1 Definitions and results / p30 (0035.jp2)
- 2.2 Proof of Theorem 2.2 and Theorem 2.3 / p32 (0037.jp2)
- 2.3 Proof of Theorem 2.4 / p35 (0040.jp2)
- 2.4 Proof of Theorem 2.5 / p38 (0043.jp2)
- 3 On unknotting operations of two-bridge knots / p41 (0046.jp2)
- 3.1 Definitions and results / p41 (0046.jp2)
- 3.2 Unknotting Operations and Dehn Surgeries / p45 (0050.jp2)
- 3.3 Continued Fractions / p48 (0053.jp2)
- Bibliography / p55 (0060.jp2)
- List of papers by Kouki Taniyama / p58 (0063.jp2)
