Department of Mathematical Sciences College of Science and Engineering Tokyo Denki University Department of Mathematics Faculty of Education Tokyo Gakugei University
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) G. Burde and H. Zieschang, Knots, de Gruyter Studies in Math., vol. 5, Walter de Gruyter, Berlin, 1985. 2) P. M. Gilmer, Configurations of surfaces in 4-manifolds, Trans. Amer. Math. Soc., 264 (1981), 353-380. 3) J. Hoste, Y. Nakanishi and K. Taniyama, Unknotting operations involving trivial tangles, Osaka J. Math., 27 (1990), 555-566. 4) L. Kauffman, On knots, Ann. of Math. Stud., vol. 115, Princeton Univ. Press, Princeton, New Jersey, 1987. 5) S. Kinoshita, On θn-curves in R3 and their constituent knots, Topology and Computer Science, (ed. S. Suzuki), Kinokuniya, Tokyo, Japan, 1987, pp. 211-216. 6) H. Murakami, Some metrics on classical knots, Math. Ann., 270 (1985), 35-45. 7) Y. Nakanishi, A note on unknotting number, Math. Sem. Notes, Kobe Univ., 9 (1981), 99-108. 8) R. A. Norman, Dehn's Lemma for certain 4-manifolds, Invent. Math., 7 (1969), 143-147. 9) R. Robertello, An Arf invariant of knot cobordism, Comm. Pure Appl. Math., 18 (1965), 543-555. 10) S. Suzuki, Local knots of 2-spheres in 4-manifolds, Proc. Japan Acad., 45 (1969), 34-38. 11) A. G. Tristram, Some cobordism invariants for links, Proc. Cambridge Philos. Soc., 66 (1969), 251-264. 12) O. Ya Viro, Link types in codimension-2 with boundary, Uspekhi Mat. Nauk, 30 (1970), 231-232, (Russian). 13) H. Wendt, Die gordische Auflösung von Knoten, Math. Z., 42 (1937), 680-696. 14) K. Wolcott, The knotting of theta curves and other graphs in S3, Geometry and Topology, (eds. C. McCrory and T. Shifrin), Marcel Dekker, New York, 1987, pp. 325-346. 15) M. Yamamoto, Knots in spatial embeddings of the complete graph on four vertices, Topology Appl., 36 (1990), 291-298.
Right : [1] G. Burde and H. Zieschang, Knots, de Gruyter Studies in Math., vol. 5, Walter de Gruyter, Berlin, 1985. [2] P. M. Gilmer, Configurations of surfaces in 4-manifolds, Trans. Amer. Math. Soc., 264 (1981), 353-380. [3] J. Hoste, Y. Nakanishi and K. Taniyama, Unknotting operations involving trivial tangles, Osaka J. Math., 27 (1990), 555-566. [4] L. Kauffman, On knots, Ann. of Math. Stud., vol. 115, Princeton Univ. Press, Princeton, New Jersey, 1987. [5] S. Kinoshita, On θn-curves in R3 and their constituent knots, Topology and Computer Science, (ed. S. Suzuki), Kinokuniya, Tokyo, Japan, 1987, pp. 211-216. [6] H. Murakami, Some metrics on classical knots, Math. Ann., 270 (1985), 35-45. [7] Y. Nakanishi, A note on unknotting number, Math. Sem. Notes, Kobe Univ., 9 (1981), 99-108. [8] R. A. Norman, Dehn's Lemma for certain 4-manifolds, Invent. Math., 7 (1969), 143-147. [9] R. Robertello, An Arf invariant of knot cobordism, Comm. Pure Appl. Math., 18 (1965), 543-555. [10] S. Suzuki, Local knots of 2-spheres in 4-manifolds, Proc. Japan Acad., 45 (1969), 34-38. [11] A. G. Tristram, Some cobordism invariants for links, Proc. Cambridge Philos. Soc., 66 (1969), 251-264. [12] O. Ya Viro, Link types in codimension-2 with boundary, Uspekhi Mat. Nauk, 30 (1970), 231-232, (Russian). [13] H. Wendt, Die gordische Auflösung von Knoten, Math. Z., 42 (1937), 680-696. [14] K. Wolcott, The knotting of theta curves and other graphs in S3, Geometry and Topology, (eds. C. McCrory and T. Shifrin), Marcel Dekker, New York, 1987, pp. 325-346. [15] M. Yamamoto, Knots in spatial embeddings of the complete graph on four vertices, Topology Appl., 36 (1990), 291-298.