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Double Covers and Metastable Immersions of Spheres

  • Robert Wells (a1)

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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.

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References

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1. Conner, P. E. and Floyd, E. E., Fixed point free involutions and equivariant maps, Bull. Amer. Math. Soc. 66 (1960), 416441 ; and 105 (1962), 222228.
2. Connolly, F., From immersions to embeddings of smooth manifolds, Trans. Amer. Math. Soc. 152 (1970), 253271.
3. Haefliger, A., Plongements differentiates de variétés dans variétés, Comment. Math. Helv. 36 (1961), 4782.
4. Haefliger, A., Plongements differentiates dans le domaine stable, Comment. Math. Helv. 37 (1962/63), 155176.
5. Kervaire, M. A., A manifold which does not admit any differentiable structure, Comment. Math. Helv. 34 (1960), 257270.
6. Miller, J. G., Self-intersections of some immersed manifolds, Trans. Amer. Math. Soc. 136 (1969), 329338.
7. Schneider, H., Free involutions on homotopy S[h/2] × Sh-[h/2] s , Ph.D. Thesis, University of Chicago, 1972.
8. Schweitzer, P. A., Joint cob ordism of immersions, The Steenrod algebra and its applications: A conference to celebrate N. E. Steenrod's sixtieth birthday. Proceedings of the conference held at the Batelle Memorial Institute (Springer-Verlag, 1972).
9. Uchida, F., Exact sequences involving cobordism groups of immersions, Osaka J. Math. 6 (1969), 397408.
10. Wells, R., Cobordism groups of immersions, Topology 5 (1966), 281294.
11. Wells, R., Modification of intersections, Illinois Math. 11 (1967), 389399.
12. Wells, R., Some examples of free involutions on homotopy Sl × Sl's , Illinois J. Math. 15 (1971), 542550.
13. Wells, R., Free involutions of Homotopy Sl × Sl's , Illinois Math. 15 (1971), 160184.
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Double Covers and Metastable Immersions of Spheres

  • Robert Wells (a1)

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