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Multiple points of immersions, and the Kahn-Priddy theorem

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References

  1. Adams, F.: On the non-existence of elements of Hopf invariant one. Ann. of Math.72, 20–104 (1960)

    Google Scholar 

  2. Banchoff, T.: Triple points and surgery of immersed surfaces. Proc. Amer. Math. Soc.46, 407–413 (1974)

    Google Scholar 

  3. Brown, E.: Framed manifolds with a fixed point free involution. Michigan Math. J.23, 257–260 (1976)

    Google Scholar 

  4. Cohen, J.: The decomposition of stable homotopy. Ann. of Math.87, 305–320 (1968)

    Google Scholar 

  5. Freedman, M.: Quadruple points of 3-manifolds inS 4. Comment. Math. Helv.53, 385–394 (1978)

    Google Scholar 

  6. Hilbert, D., Cohn-Vossen, S.: Geometry and the imagination. New York: Chelsea 1952

    Google Scholar 

  7. Hirsch, M.: Immersions of manifolds. Trans Amer. Math. Soc.93, 242–276 (1959)

    Google Scholar 

  8. Kahn, D., Priddy, S.: Applications of the transfer to stable homotopy theory. Bull. Amer. Math. Soc.78, 981–987 (1972)

    Google Scholar 

  9. Koschorke, U.: A singularity approach to framefields and other vector bundle morphisms. Lecture Notes in Mathematics. Berlin-Heidelberg-New York: Springer (to appear)

  10. Koschorke, U., Sanderson, B.: Geometric interpretations of the generalized Hopf invariant. Math. Scand.41, 199–217 (1977)

    Google Scholar 

  11. Koschorke, U., Sanderson, B.: Selfintersections and higher Hopf invariants. Topology17, 283–290 (1978)

    Google Scholar 

  12. Mac Lane, S.: Homology. Grundlehren der Mathematischen Wissenschaften 114. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

  13. Milnor, J., Kervaire, M.: Bernoulli numbers, homotopy groups, and a theorem of Rohlin. In: Proceedings of the International Congress of Mathematicians (Edinburgh 1958), pp. 454–458. Cambridge: Cambridge University Press 1960

    Google Scholar 

  14. Ray, N.: A geometrical observation on the Arf invariant of a framed manifold. Bull. London Math. Soc.4, 163–164 (1972)

    Google Scholar 

  15. Salomonsen, M. A.: Bordism and geometric dimension. Math. Scand.32, 87–111 (1973)

    Google Scholar 

  16. Segal, G.: Operations in stable homotopy theory. London Mathematical Society Lecture Note Series11, 105–110. Cambridge: Cambridge University Press 1974

    Google Scholar 

  17. Thom, R.: Quelques propriétés globales des variétés différentiables. Comment. Math. Helv.28, 17–86 (1954)

    Google Scholar 

  18. Toda, H.: Composition methods in homotopy groups of spheres. Princeton, New York: Princeton University Press 1962

    Google Scholar 

  19. Toda, H., Saito, Y., Yokota, I.: Note on the generator of π7(S0(n)). Mem. Coll. Sci. Univ. Kyoto Ser. A30, 227–230 (1957)

    Google Scholar 

  20. Whitehead, G.: Recent advances in homotopy theory. Regional Conference Series in Mathematics5. Providence, Rhode Island: American Mathematical Society 1970

    Google Scholar 

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  1. Fachbereich Mathematik der Gesamthochschule Siegen, Hölderlinstraße 3, D-5900, Siegen 21, Germany

    Ulrich Koschorke

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  1. Ulrich Koschorke
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Koschorke, U. Multiple points of immersions, and the Kahn-Priddy theorem. Math Z 169, 223–236 (1979). https://doi.org/10.1007/BF01214837

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