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A Mapping Problem and Jp-Index. II

Published online by Cambridge University Press:  20 November 2018

Masami Wakae  and
Oma Hamara
Masami Wakae
Affiliation:
University of Manitoba, Winnipeg, Manitoba
Oma Hamara
Affiliation:
University of Arizona, Tucson, Arizona
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In [9], indices for equivariant mappings have been denned in the case that the transformation groups are cyclic. Thus a question will naturally arise as to the generalization of [4, Theorem 2] or [8, § IV, Theorem 2.8]. In this paper we will generalize the above result when the transformation groups are of order paqb, p, q are odd prime numbers. The method used here can be used directly for more general cyclic groups, say, of order n = p1α1 … pmαm. However, the results are too complicated to be of interest.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 22 , Issue 4 , 01 August 1970 , pp. 713 - 718
Copyright
Copyright © Canadian Mathematical Society 1970

References

1. Borel, A., Sur la cohomologie des espaces fibres principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115–207.Google Scholar
2. Borel, A., Sur Vhomologie et la cohomologie des groupes de Lie compacts connexes, Amer. J. Math. 76 (1954), 273–342.Google Scholar
3. Borel, A. (with contributions by Bredon, G., Floyd, E. E., Montgomery, D., and Palais, R.), Seminar on transformation groups, Ann. of Math. Studies, No. 46 (Princeton Univ. Press, Princeton, N. J., 1960).Google Scholar
4. Bourgin, D. G., Multiplicity of solutions in frame mappings, Illinois J. Math. 9 (1965), 169–177.Google Scholar
5. Bourgin, D. G., Multiplicity of solutions in frame mappings. II, Illinois J. Math. 10 (1966), 557–562.Google Scholar
6. Hurewicz, W. and Wallman, H., Dimension theory (Princeton Univ. Press, Princeton, N. J., 1941).Google Scholar
7. Raymond, F., Local cohomology groups with closed supports, Math. Z. 76 (1961), 31–41.Google Scholar
8. Wakae, M., Some results on multiplicity of solutions in frame mappings, Math. Z. 98 (1967), 407–421.Google Scholar
9. Wakae, M. and Hamara, O., A mapping problem and Jp-index. I, Can. J. Math. 22 (1970), 705–712.Google Scholar
10. Wen-Tsun, Wu, On the $(p)-classes of a topological space, Sci. Record (N.S.) 1 (1957), 377–380.Google Scholar