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Hyperbolic links with Brunnian properties
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1986 Volume 38 Issue 2 Pages 295-308
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- Published: 1986 Received: November 12, 1984 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : To the memory of Professor Shichiro Oka
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.
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