Hyperbolic links with Brunnian properties

Taizo KANENOBU

doi:10.2969/jmsj/03820295

Taizo KANENOBU

著者情報

ジャーナルフリー

1986 年 38 巻 2 号 p. 295-308

DOI https://doi.org/10.2969/jmsj/03820295

詳細

Published: 1986 Received: 1984/11/12 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Wrong : To the memory of Professor Shichiro Oka

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. S. Birman, Braids, Links, and Mapping Class Groups, Ann. of Math. Studies, No. 82, Princeton Univ. Press, Princeton, N. J., 1975.
2) S. A. Bleiler, Realizing concordant polynomials with prime knots, Pacific J. Math., 100 (1982), 249-257.
3) H. Brunn, Über Verkettung, Sitzungsberichte der Bayerische Akad. Wiss., Math-Phys. Klasse, 22 (1892), 77-99.
4) H. Debrunner, Über den Zerfall von Verkettungen, Math. Z., 85 (1964), 154-168.
5) J. Hempel, 3-manifolds, Ann, of Math. Studies, No. 86, Princeton Univ. Press, Princeton, N.J., 1976.
6) W. Jaco, Lectures on three-manifold topology, CBMS Regional Conf. Ser. in Math., No. 43, Amer. Math. Soc., 1980.
7) W. Jaco and P. Shalen, Seifert fibered spaces in 3-manifolds, Mem. Amer. Math. Soc., 21, No. 220 (1979).
8) T. Kanenobu, Satellite links with Brunnian properties, Arch. Math., 44 (1984), 369-372.
9) R. C. Kirby and W. B. R. Lickorish, Prime knots and concordance, Math. Proc. Cambridge Philos. Soc., 86 (1979), 437-441.
10) W. B. R. Lickorish, Prime knots and tangles, Trans. Amer. Math. Soc., 267 (1981), 321-332.
11) C. Livingston, Homology cobordisms of 3-manifolds, Pacific J. Math., 94 (1981), 193-206.
12) W. Magnus, A. Karrass and D. Solitar, Combinatorial Group Theory, Pure and Applied Math., Vol. 13, Interscience, 1966.
13) J. W. Morgan, On Thurston's uniformization theorem for three-dimensional manifolds, in The Smith Conjecture, ed. by J. W. Morgan and H. Bass, Academic Press, 1984, 37-125.
14) R. Myers, Simple knots in compact, orientable 3-manifolds, Trans. Amer. Math. Soc., 273 (1982), 75-92.
15) R. Myers, Homology cobordisms, link concordances, and hyperbolic 3-manifolds, Trans. Amer. Math. Soc., 278 (1983), 271-288.
16) Y. Nakanishi, Prime links, concordance and Alexander invariants, Math. Sem. Notes Kobe Univ., 8 (1980), 561-568.
17) Y. Nakanishi, Primeness of links, Math. Sem. Notes Kobe Univ., 9 (1981), 415-440.
18) Y. Nakanishi, Prime and simple links, Math. Sem. Notes Kobe Univ., 11 (1983), 249-256.
19) T. C. V. Quách, On a theorem on partially summing tangles by Lickorish, Math. Proc. Cambridge Philos. Soc., 93(1983), 63-66.
20) T. C. V. Quách, On a realization of prime tangles and knots, Canad. J. Math., 35 (1983), 311-323.
21) D. Rolfsen, Knots and Links, Publish or Perish, Berkeley, Calif., 1976.
22) T. Soma, Simple links and tangles, Tokyo J. Math., 6 (1983), 65-73.
23) F. Waldhausen, On irreducible 3-manifolds which are sufficiently large, Ann. of Math., 87 (1968), 56-88.

Right : [1] J. S. Birman, Braids, Links, and Mapping Class Groups, Ann. of Math. Studies, No. 82, Princeton Univ. Press, Princeton, N. J., 1975.
[2] S. A. Bleiler, Realizing concordant polynomials with prime knots, Pacific J. Math., 100 (1982), 249-257.
[3] H. Brunn, Über Verkettung, Sitzungsberichte der Bayerische Akad. Wiss., Math-Phys. Klasse, 22 (1892), 77-99.
[4] H. Debrunner, Über den Zerfall von Verkettungen, Math. Z., 85 (1964), 154-168.
[5] J. Hempel, 3-manifolds, Ann. of Math. Studies, No. 86, Princeton Univ. Press, Princeton, N. J., 1976.
[6] W. Jaco, Lectures on three-manifold topology, CBMS Regional Conf. Ser. in Math., No. 43, Amer. Math. Soc., 1980.
[7] W. Jaco and P. Shalen, Seifert fibered spaces in 3-manifolds, Mem. Amer. Math. Soc., 21, No. 220 (1979).
[8] T. Kanenobu, Satellite links with Brunnian properties, Arch. Math., 44 (1984), 369-372.
[9] R. C. Kirby and W. B. R. Lickorish, Prime knots and concordance, Math. Proc. Cambridge Philos. Soc., 86 (1979), 437-441.
[10] W. B. R. Lickorish, Prime knots and tangles, Trans. Amer. Math. Soc., 267 (1981), 321-332.
[11] C. Livingston, Homology cobordisms of 3-manifolds, Pacific J. Math., 94 (1981), 193-206.
[12] W. Magnus, A. Karrass and D. Solitar, Combinatorial Group Theory, Pure and Applied Math., Vol. 13, Interscience, 1966.
[13] J. W. Morgan, On Thurston's uniformization theorem for three-dimensional manifolds, in The Smith Conjecture, ed. by J. W. Morgan and H. Bass, Academic Press, 1984, 37-125.
[14] R. Myers, Simple knots in compact, orientable 3-manifolds, Trans. Amer. Math. Soc., 273 (1982), 75-92.
[15] R. Myers, Homology cobordisms, link concordances, and hyperbolic 3-manifolds, Trans. Amer. Math. Soc., 278 (1983), 271-288.
[16] Y. Nakanishi, Prime links, concordance and Alexander invariants, Math. Sem. Notes Kobe Univ., 8 (1980), 561-568.
[17] Y. Nakanishi, Primeness of links, Math. Sem. Notes Kobe Univ., 9 (1981), 415-440.
[18] Y. Nakanishi, Prime and simple links, Math. Sem. Notes Kobe Univ., 11 (1983), 249-256.
[19] T. C. V. Quách, On a theorem on partially summing tangles by Lickorish, Math. Proc. Cambridge Philos. Soc., 93(1983), 63-66.
[20] T. C. V. Quách, On a realization of prime tangles and knots, Canad. J. Math., 35 (1983), 311-323.
[21] D. Rolfsen, Knots and Links, Publish or Perish, Berkeley, Calif., 1976.
[22] T. Soma, Simple links and tangles, Tokyo J. Math., 6 (1983), 65-73.
[23] F. Waldhausen, On irreducible 3-manifolds which are sufficiently large, Ann. of Math., 87 (1968), 56-88.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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