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Isotopy classification of spheres in a manifold

Characteristic Classes And Bordism

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Part of the Lecture Notes in Mathematics book series (LNM,volume 763)

Keywords

  • Line Bundle
  • Spectral Sequence
  • Natural Kind
  • Double Point
  • Isotopy Class

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Bibliography

  1. M. G. Barratt and M. E. Mahowald, The Metastable Homotopy of O(n). Bull. AMS 70 (1964), 758–760 MR 31 # 6229.

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  2. J. P. Dax, Etude Homotopique des Espaces de Plongements, Ann. Sci. École Norm. Sup. (4) 5 (1972), 303–377 MR 47 # 9643.

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  3. A. Haefliger, Plongements Différentiables dans le Domaine Stable, Comment. Math. Helv. 37 (1961), 57–70 MR 28 # 625.

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  4. L. L. Larmore, Obstructions to Embedding and Isotopy in the Metastable Range, Rocky Mt. J. Math. 3 (1973), 355–375 MR 50 # 8559.

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  5. L. L. Larmore, Isotopy Groups, Trans. AMS 239 (1978), 67–97.

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  6. H. A. Salomonsen, On the Existence and Classification of Differential Embeddings in the Metastable Range, unpublished preprint.

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  7. Toda, H., Composition Methods in Homotopy Groups of Spheres. Princeton University Press, 1962 MR 26 # 777.

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© 1979 Springer-Verlag

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Larmore, L.L. (1979). Isotopy classification of spheres in a manifold. In: Dupont, J.L., Madsen, I.H. (eds) Algebraic Topology Aarhus 1978. Lecture Notes in Mathematics, vol 763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088083

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  • DOI: https://doi.org/10.1007/BFb0088083

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09721-1

  • Online ISBN: 978-3-540-38520-2

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