On the classification of sufficiently connected manifolds

Itiro TAMURA

doi:10.2969/jmsj/02010371

Itiro TAMURA

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1968 年 20 巻 1-2 号 p. 371-389

DOI https://doi.org/10.2969/jmsj/02010371

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Published: 1968 Received: 1967/08/29 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor S. Iyanaga on his 60th birthday

訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. Adem, The iteration of the Steenrod square in algebraic topology, Proc. Nat. Acad. Sci. U.S.A., 38 (1952), 720-726.
2) R. Bott, The stable homotopy of the classical groups, Ann. of Math., 70 (1959), 313-337.
3) A. Haefliger, Plongements différentiables de variétés dans variétés, Comment. Math. Helv., 36 (1961), 47-82.
4) P. J. Hilton, On the homotopy groups of the union of spheres, J. London Math. Soc., 30 (1955), 154-172.
5) M. Kervaire, Some non-stable homotopy groups of Lie groups, Illinois J. Math., 4 (1960), 161-169.
6) M. Kervaire and J. Milnor, Groups of homotopy spheres, I, Ann. of Math., 77 (1963), 504-537.
7) J. Milnor, Some consequences of a theorem of Bott, Ann. of Math., 68 (1958), 444-449.
8) J. Milnor, Differentiable structures on spheres, Amer. J. Math., 81 (1959), 962-972.
9) S. Smale, On the structure of manifolds, Amer. J. Math., 84 (1962), 387-399.
10) I. Tamura, On Pontrjagin classes and homotopy types of manifolds, J. Math. Soc. Japan, 9 (1957), 250-262.
11) I. Tamura, Classification des variétés différentiables, (n-1)-connexes, sans torsion, de dimension 2n+1, Séminaire Cartan 1962/63.
12) R. Thom, Les classes caractéristiques de Pontrjagin des variétés triangulées, Symposium international de topologia algebraica, Mexico, 1958, 54-67.
13) C. T. C. Wall, Classification problems in differential topology, I, II, Q, III, IV, VI, Topology, 2 (1963), 253-262, 263-272, 281-298, 3 (1965) 291-304, 5 (1966), 73-94, 6 (1967) 273-296.
14) J. H. C. Whitehead and I. M. James, The homotopy theory of sphere bundles over spheres, Proc. London Math. Soc., 4 (1954), 196-218.
15) H. Whitney, The self-intersections of a smooth n-manifold in 2n-space, Ann. of Math., 45 (1944), 220-246.

Right : [1] J. Adem, The iteration of the Steenrod square in algebraic topology, Proc. Nat. Acad. Sci. U.S.A., 38 (1952), 720-726.
[2] R. Bott, The stable homotopy of the classical groups, Ann. of Math., 70 (1959), 313-337.
[3] A. Haefliger, Plongements différentiables de variétés dans variétés, Comment. Math. Helv., 36 (1961), 47-82.
[4] P. J. Hilton, On the homotopy groups of the union of spheres, J. London Math. Soc., 30 (1955), 154-172.
[5] M. Kervaire, Some non-stable homotopy groups of Lie groups, Illinois J. Math., 4 (1960), 161-169.
[6] M. Kervaire and J. Milnor, Groups of homotopy spheres, I, Ann. of Math., 77 (1963), 504-537.
[7] J. Milnor, Some consequences of a theorem of Bott, Ann. of Math., 68 (1958), 444-449.
[8] J. Milnor, Differentiable structures on spheres, Amer. J. Math., 81 (1959), 962-972.
[9] S. Smale, On the structure of manifolds, Amer. J. Math., 84 (1962), 387-399.
[10] I. Tamura, On Pontrjagin classes and homotopy types of manifolds, J. Math. Soc. Japan, 9 (1957), 250-262.
[11] I. Tamura, Classification des variétés différentiables, (n-1)-connexes, sans torsion, de dimension 2n+1, Séminaire Cartan 1962/63.
[12] R. Thom, Les classes caractéristiques de Pontrjagin des variétés triangulées, Symposium international de topologia algebraica, Mexico, 1958, 54-67.
[13] C. T. C. Wall, Classification problems in differential topology, I, II, Q, III, IV, VI, Topology, 2 (1963), 253-262, 263-272, 281-298, 3 (1965) 291-304, 5 (1966), 73-94, 6 (1967) 273-296.
[14] J. H. C. Whitehead and I. M. James, The homotopy theory of sphere bundles over spheres, Proc. London Math. Soc., 4 (1954), 196-218.
[15] H. Whitney, The self-intersections of a smooth n-manifold in 2n-space, Ann. of Math., 45 (1944), 220-246.

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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