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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Smooth complex projective space bundles and $ B{\rm\ U}(n)$


Author: R. Paul Beem
Journal: Trans. Amer. Math. Soc. 199 (1974), 399-411
MSC: Primary 57D75
DOI: https://doi.org/10.1090/S0002-9947-1974-0394707-1
MathSciNet review: 0394707
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Abstract: Smooth fiberings with complex projective and Dold manifold fibers are studied and a bordism classification for even complex projective space bundles is given. The $ {Z_2}$-cohomology of $ B\tilde U(n)$ is computed with its Steenrod algebra action.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0394707-1
Keywords: Smooth fibrations, classifying spaces, Dold manifolds, bordism, Stiefel-Whitney class
Article copyright: © Copyright 1974 American Mathematical Society

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