訂正日: 2006/09/29訂正理由: -訂正箇所: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor Hitoshi Hombu on his sixtieth birthday
訂正日: 2006/09/29訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) W. Browder, Manifolds with π1=Z, Bull. Amer. Math. Soc., 72 (1966), 225-231. 2) W. Browder, Diffeomorphisms of 1-connected manifolds, Trans. Amer. Math. Soc., 128 (1967), 155-163. 3) R. H. Fox and J. W. Milnor, Singularities of 2-spheres in 4-space and cobordism of knots, Osaka J. Math., 3 (1966), 257-267. 4) H. Gluck, The embedding of two spheres in the four sphere, Trans. Amer. Math. Soc., 104 (1964), 303-333. 5) M. W. Hirsch, On combinatorial submanifolds of differentiable manifolds, Comment. Math. Helv., 36 (1961), 103-111. 6) M. W. Hirsch, Obstruction theories for smoothing manifolds and maps, Bull. Amer. Math. Soc., 69 (1963), 352-356. 7) M. W. Hirsch and L. P. Neuwirth, On piecewise regular n-knots, Ann. of Math., 80 (1964), 594-612. 8) J. F. P. Hudson and E. C. Zeeman, On regular neighborhoods, Proc. London Math. Soc., 14 (1964), 719-745. 9) J. F. P. Hudson and D. W. L. Sumners, Knotted ball pairs in unknotted sphere pairs, J. London Math. Soc., 41 (1966), 717-722. 10) M. Kato, Combinatorial prebundles, Part II, Osaka J. Math., 4 (1967), 305-311. 11) M. Kato, A concordance classification of PL homeomorphisms of Sp×Sq, Topology, (to appear). 12) M. Kervaire, Les noeuds de dimensions superieurs, Bull. Soc. Math. France, 93 (1965), 225-271. 13) M. Kervaire, On higher dimensional knots, Proceedings of Symposium in Honor of Marston Morse, Princeton Univ. Press, 1965, 105-119. 14) M. Kervaire and J. W. Milnor, Groups of homotopy spheres, I, Ann. of Math., 77 (1963), 504-537. 15) R. K. Lashof and M. Rothenberg, Microbundles and smoothings, Topology, 3 (1965), 357-388. 16) J. Levine, Unknotting spheres in codimension two, Topology, 3 (1965), 9-16. 17) B. Mazur, On the structure of certain semi-groups of spherical knot classes, Publs. Math. I. H. E. S., 3 (1959), 19-27. 18) J. Munkres, Obstructions to the smoothing of piecewise-differentiable homeomorphisms, Ann. of Math., 72 (1962), 521-554. 19) H. Noguchi, A classification of orientable surfaces in 4-space, Proc. Japan Acad., 39 (1963), 422-423. 20) H. Noguchi, One flat 3-manifolds in 5-space, Osaka J. Math., 1 (1964), 117-125. 21) H. Noguchi, One flat submanifolds with codimension two, Illinois J. Math., 13 (1969), 220-223. 22) H. Noguchi, Obstructions to locally flat embeddings of combinatorial manifolds, Topology, 5 (1966), 203-213. 23) H. Noguchi, Classical combinatorial topology (mimeographed), University of Illinois, 1967. 24) H. Sato, Diffeomorphism groups of Sp×Sq and exotic spheres (to appear). 25) H. Schubert, Die eindeutige Zerlegbarkeit eines Knotens in Primknoten, S. -B. Heidelberger Akad. Wiss. Math. Nat. Kl. 1949, No. 3, 57-104. 26) C. T. C. Wall, Unknotting tori in codimension one and spheres in codimension two, Proc. Camb. Phil. Soc., 61 (1965), 659-664. 27) C. T. C. Wall, Locally flat submanifolds with codimension two, Proc. Camb. Phil. Soc., 63 (1967), 5-8. 28) M. H. A. Newman, Boundaries of ULC sets in euclidean n-space, Proc. Nat. Acad. Sci. U.S.A., 34 (1948) 193-196. 29) E. C. Zeeman, Unknotting combinatorial balls, Ann. of Math., 78 (1962), 501-526. 30) E. C. Zeeman, Seminars on combinatorial topology (mimeographed), Inst. des Hautes Études Sci., Paris (1963-1966).
Right : [1] W. Browder, Manifolds with π1=Z, Bull. Amer. Math. Soc., 72 (1966), 225-231. [2] W. Browder, Diffeomorphisms of 1-connected manifolds, Trans. Amer. Math. Soc., 128 (1967), 155-163. [3] R. H. Fox and J. W. Milnor, Singularities of 2-spheres in 4-space and cobordism of knots, Osaka J. Math., 3 (1966), 257-267. [4] H. Gluck, The embedding of two spheres in the four sphere, Trans. Amer. Math. Soc., 104 (1964), 303-333. [5] M. W. Hirsch, On combinatorial submanifolds of differentiable manifolds, Comment. Math. Helv., 36 (1961), 103-111. [6] M. W. Hirsch, Obstruction theories for smoothing manifolds and maps, Bull. Amer. Math. Soc., 69 (1963), 352-356. [7] M. W. Hirsch and L. P. Neuwirth, On piecewise regular n-knots, Ann. of Math., 80 (1964), 594-612. [8] J. F. P. Hudson and E. C. Zeeman, On regular neighborhoods, Proc. London Math. Soc., 14 (1964), 719-745. [9] J. F. P. Hudson and D. W. L. Sumners, Knotted ball pairs in unknotted sphere pairs, J. London Math. Soc., 41 (1966), 717-722. [10] M. Kato, Combinatorial prebundles, Part II, Osaka J. Math., 4 (1967), 305-311. [11] M. Kato, A concordance classification of PL homeomorphisms of Sp×Sq, Topology, (to appear). [12] M. Kervaire, Les noeuds de dimensions superieurs, Bull. Soc. Math. France, 93 (1965), 225-271. [13] M. Kervaire, On higher dimensional knots, Proceedings of Symposium in Honor of Marston Morse, Princeton Univ. Press, 1965, 105-119. [14] M. Kervaire and J. W. Milnor, Groups of homotopy spheres, I, Ann. of Math., 77 (1963), 504-537. [15] R. K. Lashof and M. Rothenberg, Microbundles and smoothings, Topology, 3 (1965), 357-388. [16] J. Levine, Unknotting spheres in codimension two, Topology, 3 (1965), 9-16. [17] B. Mazur, On the structure of certain semi-groups of spherical knot classes, Publs. Math. I. H. E. S., 3 (1959), 19-27. [18] J. Munkres, Obstructions to the smoothing of piecewise-differentiable homeomorphisms, Ann. of Math., 72 (1962), 521-554. [19] H. Noguchi, A classification of orientable surfaces in 4-space, Proc. Japan Acad., 39 (1963), 422-423. [20] H. Noguchi, One flat 3-manifolds in 5-space, Osaka J. Math., 1 (1964), 117-125. [21] H. Noguchi, One flat submanifolds with codimension two, Illinois J. Math., 13 (1969), 220-223. [22] H. Noguchi, Obstructions to locally flat embeddings of combinatorial manifolds, Topology, 5 (1966), 203-213. [23] H. Noguchi, Classical combinatorial topology (mimeographed), University of Illinois, 1967. [24] H. Sato, Diffeomorphism groups of Sp×Sq and exotic spheres (to appear). [25] H. Schubert, Die eindeutige Zerlegbarkeit eines Knotens in Primknoten, S. -B. Heidelberger Akad. Wiss. Math. Nat. Kl. 1949, No. 3, 57-104. [26] C. T. C. Wall, Unknotting tori in codimension one and spheres in codimension two, Proc. Camb. Phil. Soc., 61 (1965), 659-664. [27] C. T. C. Wall, Locally flat submanifolds with codimension two, Proc. Camb. Phil. Soc., 63 (1967), 5-8. [28] M. H. A. Newman, Boundaries of ULC sets in euclidean n-space, Proc. Nat. Acad. Sci. U. S. A., 34 (1948) 193-196. [29] E. C. Zeeman, Unknotting combinatorial balls, Ann. of Math., 78 (1962), 501-526. [30] E. C. Zeeman, Seminars on combinatorial topology (mimeographed), Inst. des Hautes Études Sci., Paris (1963-1966).