Tangle decompositions of knots and links 結び目と絡み目のタングル分解
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Bibliographic Information
- Title
-
Tangle decompositions of knots and links
- Other Title
-
結び目と絡み目のタングル分解
- Author
-
小沢, 誠
- Author(Another name)
-
オザワ, マコト
- University
-
早稲田大学
- Types of degree
-
博士 (理学)
- Grant ID
-
甲第1377号
- Degree year
-
1999-06-17
Note and Description
博士論文
制度:新 ; 文部省報告番号:甲1377号 ; 学位の種類:博士(理学) ; 授与年月日:1996-06-17 ; 早大学位記番号:新2848 ; 理工学図書館請求番号:2387
Table of Contents
- Contents / p2 (0004.jp2)
- Introduction / p1 (0005.jp2)
- 1 Uniqueness of essential free tangle decompositions of knots and links I / p6 (0010.jp2)
- 1.1 Natures of free t angles / p7 (0011.jp2)
- 1.2 Proof / p12 (0016.jp2)
- 2 Uniqueness of essential free tangle decompositions of knots II / p14 (0018.jp2)
- 2.1 Preliminaries / p15 (0019.jp2)
- 2.2 Natures of free tangles / p15 (0019.jp2)
- 2.3 Proof / p17 (0021.jp2)
- 2.4 Thin position of knots with free tangle decompositions / p18 (0022.jp2)
- 3 On tangle decompositions of tunnel number one links / p19 (0023.jp2)
- 3.1 Quasi Hopf tangle / p22 (0026.jp2)
- 3.2 Proof of Theorem / p25 (0029.jp2)
- 3.3 Uniqueness of essential tangle decompositions / p31 (0035.jp2)
- 3.4 Some examples / p39 (0043.jp2)
- 3.5 Problems / p41 (0045.jp2)
- 4 Free genus one knots do not admit essential tangle decompositions / p43 (0047.jp2)
- 4.1 Proof of Theorem / p44 (0048.jp2)
- 4.2 Appendix / p49 (0053.jp2)
- 5 Tangle decompositions of double torus knots and links / p52 (0056.jp2)
- 5.1 Preliminaries / p54 (0058.jp2)
- 5.2 Composite double torus links / p56 (0060.jp2)
- 5.3 2-string composite double torus knots / p57 (0061.jp2)
- Bibliography / p63 (0067.jp2)
- List of papers by Makoto Ozawa / p67 (0071.jp2)
