Differentiable 7-manifolds with a certain homotopy type

Itiro TAMURA

doi:10.2969/jmsj/01430292

Itiro TAMURA

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ジャーナルフリー

1962 年 14 巻 3 号 p. 292-299

DOI https://doi.org/10.2969/jmsj/01430292

詳細

Published: 1962 Received: 1961/12/22 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: 引用文献情報訂正内容: Wrong : 1) M. F. Atiyah and F. Hirzebruch, Riemann-Roch theorems for differentiable manifolds, Bull. Amer. Math. Soc., 65 (1959), 276-281.
2) A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces III, Amer. J. Math., 82 (1960), 491-504.
3) H. Braun, Geschlechter quadratischer Formen, J. Reine Angew. Math., 182 (1940), 32-49.
4) M. Eichler, Quadratische Formen und orthogonale Gruppen, Berlin, 1952.
5) M. Eichler, Die Ähnlichkeitsklassen indefiniter Gitter, Math. Zeit., 55 (1952), 216-252.
6) F. Hirzebruch, On Steenrod reduced powers in oriented manifolds, (mimeographed), Princeton University, 1953.
7) F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Berlin, 1956.
8) B. W. Jones, The arithmetic theory of quadratic forms, New York, 1950.
9) J. Milnor, On simply connected 4-manifolds, Topologia Algebraica, Mexico, 1958, 122-128.
10) J. Milnor, Differentiable manifolds which are homotopy spheres, (mimeographed), Princeton University, 1959.
11) J. Milnor, A procedure for killing homotopy groups of differentiable manifolds, Proceedings of the Symposium on Differential Geometry, 1961, 39-55.
12) J. Milnor and M. Kervaire, Bernoulli numbers, homotopy groups and a theorem of Rohlin, Proceedings of the Int. Congress of Math., Edinburgh, 1958, 454-458 299
13) S. Smale, Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math., 74 (1961), 391-406.
14) I. Tamura, On Pontrjagin classes and homotopy types of manifolds, J. Math. Soc. Japan, 9 (1957), 250-262.
15) H. Whitney, The self-intersections of a smooth n-manifold in 2n-space, Ann. of Math., 45 (1944), 220-246.

Right : [1] M. F. Atiyah and F. Hirzebruch, Riemann-Roch theorems for differentiable manifolds, Bull. Amer. Math. Soc., 65 (1959), 276-281.
[2] A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces III, Amer. J. Math., 82 (1960), 491-504.
[3] H. Braun, Geschlechter quadratischer Formen, J. Reine Angew. Math., 182 (1940), 32-49.
[4] M. Eichler, Quadratische Formen und orthogonale Gruppen, Berlin, 1952.
[5] M. Eichler, Die Ähnlichkeitsklassen indefiniter Gitter, Math. Zeit., 55 (1952), 216-252.
[6] F. Hirzebruch, On Steenrod reduced powers in oriented manifolds, (mimeographed), Princeton University, 1953.
[7] F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Berlin, 1956.
[8] B. W. Jones, The arithmetic theory of quadratic forms, New York, 1950.
[9] J. Milnor, On simply connected 4-manifolds, Topologia Algebraica, Mexico, 1958, 122-128.
[10] J. Milnor, Differentiable manifolds which are homotopy spheres, (mimeographed), Princeton University, 1959.
[11] J. Milnor, A procedure for killing homotopy groups of differentiable manifolds, Proceedings of the Symposium on Differential Geometry, 1961, 39-55.
[12] J. Milnor and M. Kervaire, Bernoulli numbers, homotopy groups and a theorem of Rohlin, Proceedings of the Int. Congress of Math., Edinburgh, 1958, 454-458
[13] S. Smale, Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math., 74 (1961), 391-406.
[14] I. Tamura, On Pontrjagin classes and homotopy types of manifolds, J. Math. Soc. Japan, 9 (1957), 250-262.
[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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