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Abstract

This article is respectfully dedicated to the memory of Wolfgang Yourgrau, philosopher and physicist. Wolfgang’s energy and interests were boundless. One of his fields of study was classical general relativity and, although he never worked directly on quantum gravity, he took a keen interest in developments in that area and discussed the subject with me at great length. Wolfgang frequently expressed the view that modern mathematics had much to give to physics and I hope for this reason that he would have approved of the contents of the present paper.

Keywords

Vacuum State Cohomology Group Short Exact Sequence Homotopy Class Betti Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References and Notes

  1. 1.
    A. Dold and H. Whitney, Ann. Math. 69, 3 (1959).CrossRefGoogle Scholar
  2. 2.
    S. J. Avis and C. J. Isham, “Quantum Field Theory and Fibre Bundles in a General Spacetime,” in Recent Developments in General Relativity ,S. Deser and M. Levy, editors (Plenum New York, 1979).Google Scholar
  3. 3.
    C. G. Callan, R. F. Dashen, and D. J. Gross, Phys. Let. 63B, 334 (1976).Google Scholar
  4. 4.
    R. Jackiw and C. Rebbi, Phys. Rev. Lett. 37, 172 (1976).CrossRefGoogle Scholar
  5. 5.
    R. M. Switzer, Algebraic Topology—Homotopy and Homology (Springer-Verlag, New York, 1975).Google Scholar
  6. 6.
    G. W. Whitehead, Elements of Homotopy Theory (Springer-Verlag, New York, 1978).CrossRefGoogle Scholar
  7. 7.
    E. H. Spanier ,Algebraic Topology (McGraw-Hill ,New York, 1966).Google Scholar
  8. 8.
    A. Dold, Lectures in Algebraic Topology (Springer-Verlag, New York, 1972).Google Scholar
  9. 9.
    S. Deser, M. J. Duff, and C. J. Isham, Phys. Lett. B 93, 419 (1980).CrossRefGoogle Scholar
  10. 10.
    R. E. Mosher and M. C. Tangora, Cohomology Operations and Applications in Homotopy Theory (Harper and Row, New York, 1968).Google Scholar
  11. 11.
    A. R. Shastri, J. G. Williams, and P. Svengrowski, Int. J. Ther. Phys. 19, 1 (1980).CrossRefGoogle Scholar
  12. 12.
    S. J. Goldberg, Curvature and Homology (Academic Press, New York, 1962).Google Scholar
  13. 13.
    J. W. Rutter, Topology 6, 379 (1967).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • C. J. Isham
    • 1
  1. 1.Blackett LaboratoryImperial College of Science and TechnologyLondonEngland

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