Skip to main content
Log in

Submersions and immersions of manifolds

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Barcus, W. D.: Note on cross-sections overCW-complexes. Quart. J. Math. Oxford (2), 50–160 (1954).

    Google Scholar 

  2. Hirsch, M.: Immersions of manifolds. Trans. Amer. Math. Soc.53, 242–276 (1959).

    Google Scholar 

  3. James, I. M.: A relation between Postnikov classes. Quart. J. Math. Oxford (2), 269–280 (1966).

    Google Scholar 

  4. James, I. M., andE. Thomas: Note on the classification of cross-sections. Topology4, 351–359 (1965).

    Google Scholar 

  5. ——: On the enumeration of cross-sections. Topology5, 95–114 (1966).

    Google Scholar 

  6. Massey, W.: Normal vector fields on manifolds. Proc. A.M.S.12, 33–40 (1961).

    Google Scholar 

  7. —: On the Stiefel-Whitney classes of a manifold, Amer. J. Math.82, 92–102 (1960).

    Google Scholar 

  8. —: On the Stiefel-Whitney classes of a manifold. II. Proc. A.M.S.13, 938–942 (1962).

    Google Scholar 

  9. Phillips, A.: Submersions of open manifolds. Thesis. Princeton University 1966.

  10. Spanier, E.: Algebraic Topology. New York: McGraw-Hill 1966.

    Google Scholar 

  11. Steenrod, N.: The topology of fiber bundles. Princeton University Press 1957.

  12. Wu, W. T.: Classes charactéristiques eti-carrés d'une variété. C.R. Acad. Sci. (Paris)230, 918–920 (1950).

    Google Scholar 

  13. —: On the immersion ofC -3-manifolds in a Euclidean space. Sci. Sinica13, 335–336 (1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported in part by a grant from the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

James, I., Thomas, E. Submersions and immersions of manifolds. Invent Math 2, 171–177 (1967). https://doi.org/10.1007/BF01425511

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01425511

Keywords

Navigation