Fiber homotopic trivial bundles over complex projective spaces
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- by Kee Yuen Lam PDF
- Proc. Amer. Math. Soc. 33 (1972), 211-212 Request permission
Abstract:
We give a more illuminating derivation of a well-known condition (obtained by M. Atiyah and J. A. Todd) for certain vector bundles over complex projective spaces to be stably fiber homotopic trivial, together with a generalization.References
- J. F. Adams and G. Walker, On complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 61 (1965), 81–103. MR 171285, DOI 10.1017/S0305004100038688
- M. F. Atiyah and J. A. Todd, On complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 56 (1960), 342–353. MR 132552, DOI 10.1017/s0305004100034642
- A. Borel and J.-P. Serre, Groupes de Lie et puissances réduites de Steenrod, Amer. J. Math. 75 (1953), 409–448 (French). MR 58213, DOI 10.2307/2372495
- Raoul Bott, Lectures on $K(X)$, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0258020
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 211-212
- MSC: Primary 55F25
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293654-7
- MathSciNet review: 0293654