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Cohomology Relations in Spaces with a Topological Transformation Group1)

Published online by Cambridge University Press:  22 January 2016

Sze-Tsen hu
Sze-Tsen hu*
Affiliation:
Tulane University and The Institute for Advanced Study
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Let Q be a topological transformation group operating on the left of a topological space X. Let us denote by. B the orbit space and p : X → B the projection, p is a continuous and open map of X onto B. For an arbitrary abelian coefficient group G, the continuous map p induces homomorphisms

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 5 , February 1953 , pp. 113 - 125
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1953

Footnotes

1)

Presented to the American Mathematical Society, September 2, 1952. This work was done under Contract N7-ONR-434, Office of Naval Research.

References

[1] Spanier, E. H., Cohomology theory for general spaces, Ann. of Math. (2), Vol. 49 (1948), pp. 407–427.CrossRefGoogle Scholar
[2] Kelly, J. L. and Pitcher, E., Exact homomorphism sequences in homology theory, Ann. of Math. (2), Vol. 48 (1947), pp. 682–709.Google Scholar