Diffeomorphism groups and classification of manifolds

Hajime SATO

doi:10.2969/jmsj/02110001

Hajime SATO

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ジャーナルフリー

1969 年 21 巻 1 号 p. 1-36

DOI https://doi.org/10.2969/jmsj/02110001

詳細

Published: 1969 Received: 1968/06/10 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
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) R. Bott and J. Milnor, On the parallelizability of the spheres, Bull. Amer. Math. Soc., 64 (1958), 87-89.
2) J. Cerf, Séminaire H. Cartan, 1962/63, Paris (mimeo.).
3) J. Cerf, Abstracts of reports on invitation (International Congress of Mathematics), Moskva, 1966.
4) A. Haefliger, Plongements différentiable de variétés dans variétés, Comment. Math. Helv., 36 (1961), 47-82.
5) A. Haefliger, Plongements différentiable dans le domains stable, Comment. Math. Helv., 37 (1962), 155-176.
6) A. Haefliger, Differentiable embeddings of Sⁿ in S^n+q for q>2, Ann. of Math., 83 (1966), 402-436.
7) F. Hirzebruch, Topological methods in algebraic geometry, Springer, Berlin, 1966.
8) M. Kervaire and J. Milnor, Groups of homotopy spheres I, Ann. of Math., 77 (1963), 504-537.
9) J. Milnor, Differentiable structures on spheres, Amer. J. Math., 81 (1959), 962-972.10) S. P. Novikov, Homotopy equivalent smooth manifolds I (in Russian), Izv. Akad. Nauk SSSR, Ser. Mat., 28 (1964), 365-474.
10) S. P. Novikov, Homotopy equivalent smooth manifolds I (in Russian), Izv. Akad. Nauk SSSR, Ser. Mat., 28 (1964), 365-474.
11) S. Smale, On the structure of manifolds, Amer. J. Math., 84 (1962), 387-399.
12) I. Tamura, Séminaire H. Cartan, 1962/63, Paris (mimeo.).
13) I. Tamura, On the classification of sufficiently connected manifolds, J. Math. Soc. Japan, 20 (1968), 371-389.
14) C. T. C. Wall, Classification problem in differentiable topology-Part I, Topology, 2 (1963), 253-261, -Part II, Topology, 263-272.
15) H. Whitney, The self-intersection of a smooth n-manifold in 2n-space, Ann, of Math., 45 (1944), 220-246.

Right : [1] R. Bott and J. Milnor, On the parallelizability of the spheres, Bull. Amer. Math. Soc., 64 (1958), 87-89.
[2] J. Cerf, Séminaire H. Cartan, 1962/63, Paris (mimeo.).
[3] J. Cerf, Abstracts of reports on invitation (International Congress of Mathematics), Moskva, 1966.
[4] A. Haefliger, Plongements différentiable de variétés dans variétés, Comment. Math. Helv., 36 (1961), 47-82.
[5] A. Haefliger, Plongements différentiable dans le domains stable, Comment. Math. Helv., 37 (1962), 155-176.
[6] A. Haefliger, Differentiable embeddings of Sⁿ in S^n+q for q>2, Ann. of Math., 83 (1966), 402-436.
[7] F. Hirzebruch, Topological methods in algebraic geometry, Springer, Berlin, 1966.
[8] M. Kervaire and J. Milnor, Groups of homotopy spheres I, Ann. of Math., 77 (1963), 504-537.
[9] J. Milnor, Differentiable structures on spheres, Amer. J. Math., 81 (1959), 962-972.
[10] S. P. Novikov, Homotopy equivalent smooth manifolds I (in Russian), Izv. Akad. Nauk SSSR, Ser. Mat., 28 (1964), 365-474.
[11] S. Smale, On the structure of manifolds, Amer. J. Math., 84 (1962), 387-399.
[12] I. Tamura, Séminaire H. Cartan, 1962/63, Paris (mimeo.).
[13] I. Tamura, On the classification of sufficiently connected manifolds, J. Math. Soc. Japan, 20 (1968), 371-389.
[14] C. T. C. Wall, Classification problem in differentiable topology-Part I, Topology, 2 (1963), 253-261, -Part II, Topology, 263-272.
[15] H. Whitney, The self-intersection of a smooth n-manifold in 2n-space, Ann, of Math., 45 (1944), 220-246.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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