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Double Covers and Metastable Immersions of Spheres

Published online by Cambridge University Press:  20 November 2018

Robert Wells
Robert Wells*
Affiliation:
Pennsylvania State University, University Park, Pennsylvania
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The real line will be R, Euclidean n-space will be Rn, the unit ball in Rn will be En, the unit sphere in Rn+1 will be Sn, and real projective n-space will be Pn. The canonical line bundle associated with the double cover Sn → Pn will be ηn. If γ is a vector bundle, E(γ) will be its associated cell bundle, S(γ) its associated sphere bundle, P(γ) its associated projective space bundle (P(γ) = S(γ) / (-1)) and T(γ) = E(γ)/S(γ) its Thorn space.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 1 , February 1974 , pp. 145 - 176
Copyright
Copyright © Canadian Mathematical Society 1974

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