Diffeomorphism groups and classification of manifolds

Hajime SATO

doi:10.2969/jmsj/02110001

Hajime SATO

Author information

JOURNAL FREE ACCESS

1969 Volume 21 Issue 1 Pages 1-36

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

Details

Published: 1969 Received: June 10, 1968 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: 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.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!