Double Covers and Metastable Immersions of Spheres
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 145-176

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The real line will be R, Euclidean n-space will be R n , the unit ball in R n will be En , the unit sphere in R n+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.
Wells, Robert. Double Covers and Metastable Immersions of Spheres. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 145-176. doi: 10.4153/CJM-1974-016-1
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