Abstract
We consider semi-free periodic mappings of homologic spheres and study the structure of the set of fixed points and the properties of the index of a periodic mapping; we establish relations for the degree of an equivariant mapping.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
P. A. Smith, “Fixed points of periodic mappings,” Appendix B to S. Lefschetz's book Algebraic Topology, New York (1942).
E. E. Floyd, “On periodic maps and the Euler characteristic of associated spaces,” Trans. Amer. Math. Soc.,72, 138–147 (1952).
S. D. Liao, “A theorem on periodic transformations of homology spheres,” Ann. of Math.,56, 68–83 (1952).
M. A. Krasnosel'skii, “The calculation of the rotation of a vector field on a finite-dimensional sphere,” Dokl. Akad. Nauk SSSR,101, No. 3, 401–404 (1955).
Ya. A. Izrailevich and E. M. Mukhamadiev, “The theory of periodic mappings of spheres,” Seventh Summer Mathematical School [in Russian], Kiev (1970).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 13, No. 1, pp. 79–86, January, 1973.
The author wishes to thank Yu. G. Borisovich for his attention to the paper and for useful discussions.
Rights and permissions
About this article
Cite this article
Izrailevich, Y.A. The index of a semifree periodic mapping. Mathematical Notes of the Academy of Sciences of the USSR 13, 46–50 (1973). https://doi.org/10.1007/BF01093628
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01093628