On Pontrjagin classes and homotopy types of manifolds

Itiro TAMURA

doi:10.2969/jmsj/00920250

Itiro TAMURA

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ジャーナルフリー

1957 年 9 巻 2 号 p. 250-262

DOI https://doi.org/10.2969/jmsj/00920250

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Published: 1957 Received: 1957/03/15 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Right : [1] A. Borel and J. -P. Serre, Groupes de Lie et Puissances Réduites de Steenrod, Amer. J. Math., 75 (1953), pp. 409-448.
[2] A. Dold, Über Fasernweise Homotopieäquivalenz von Faserräumen, Math. Zeit., 62 (1955), pp. 111-136.
[3] F. Hirzebruch, On Steenrod Reduced Powers in Oriented Manifolds, Notes Princeton University (1953), mimeographed.
[4] F. Hirzebruch, Some Problems on Differentiable and Complex Manifolds, Ann. of Math., 60 (1954), pp. 213-236.
[5] F. Hirzebruch, Neue Topologische Methoden in der Algebraischen Geometrie, (1956).
[6] W. Hurewicz, Beiträge zur Topologie der Deformationen III, Proc. Acad. Amsterdam, 39 (1936), pp. 117-126.
[7] I. M. James and J. H. C. Whitehead, The Homotopy Theory of Sphere Bundles over Spheres, Proc. London Math. Soc., 4 (1954), pp. 196-218.
[8] J. Milnor, On Manifolds Homeomorphic to the 7-Sphere, Ann. of Math., 64 (1956), pp. 339-405.
[9] J. -P. Serre, Homologie Singulière des Espaces Fibrés, Ann. of Math., 54 (1951),pp. 425-505.
[10] J. -P. Serre, Quelques Calculs de Groupes d′Homotopie, C. R. Acad. Sci. Paris,236 (1953), pp. 2475-2477.
[11] N. Steenrod, The Topology of Fibre Bundles. (1951).
[12] R. Thom, Espaces Fibrés en Sphères et Carrés de Steenrod, Ann. Sci. Ecole Norm. Sup., 69 (1952).
[13] R. Thom, Quelques propriétés globales des variétés différentiables, Comment.Math. Helv., 28 (1954), pp. 17-86.
[14] G. W. Whitehead, A generalization of the Hopf invariant, Ann, of Math., 51(1950), pp. 192-237.
[15] W. T. Wu, Sur les Puissances de Steenrod (Colloque de Topologie de Strasbourg)(1951).
[16] W. T. Wu, On Pontrjagin Classes I, II, Scientia Sinica III (1954), pp. 353-367,IV (1955), pp. 455-490.

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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