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A Note on Tangential Equivalences

Published online by Cambridge University Press:  22 January 2016

Kenichi Shiraiwa
Kenichi Shiraiwa*
Affiliation:
Nagoya University
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The main objective of this paper is to prove the following theorem, which generalizes some results of [1], [2], [6]. Our theorem is also suggested by the work of Novikov [5].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 33 , November 1968 , pp. 53 - 56
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

[1] Bredon, G.E. and Kosinski, A.: Vector fields on π-manifolds, Ann. Math. 84 (1966), 85–90.CrossRefGoogle Scholar
[2] Ishimoto, H.: A note on homotopy invariance of tangent bundles, Nagoya Math. J., 31 (1968), 247–250.CrossRefGoogle Scholar
[3] Keraire, M., Some nonstable homotopy groups of Lie groups, Ill. J. Math., 4 (1960), 161–169.Google Scholar
[4] Mazur, B.: Stable equivalence of differentiable manifolds, Bull. Amer. Math. Soc. 67 (1961), 377–384.Google Scholar
[5] Novilov, S.P.: Homotopically equivalent smooth manifolds, I. Izvestia Akad. Nauk. SSSR 28 (1964), 365–474. Amer. Math. Soc. Translation, (2) 48 (1965), 271–396.Google Scholar
[6] Shiraiwa, K.: A note on tangent bundles, Nagoya Math. J. 29 (1967), 259–267.CrossRefGoogle Scholar
[7] Steenrod, N.E.: The topology of fibre bundles, Princeton University Press, 1951.CrossRefGoogle Scholar