On the construction of periodic maps without fixed points
Authors:
P. E. Conner and E. E. Floyd
Journal:
Proc. Amer. Math. Soc. 10 (1959), 354-360
MSC:
Primary 55.00
DOI:
https://doi.org/10.1090/S0002-9939-1959-0105115-X
MathSciNet review:
0105115
Full-text PDF Free Access
References | Similar Articles | Additional Information
- [1] Samuel Eilenberg, On a theorem of P. A. Smith concerning fixed points for periodic transformations, Duke Math. J. 6 (1940), 428–437. MR 1920
- [2] Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, New Jersey, 1952. MR 0050886
- [3] E. E. Floyd, Fixed point sets of compact abelian Lie groups of transformations, Ann. of Math. (2) 66 (1957), 30–35. MR 88733, https://doi.org/10.2307/1970115
- [4] E. E. Floyd and R. W. Richardson, An action of a finite group on an 𝑛-cell without stationary points, Bull. Amer. Math. Soc. 65 (1959), 73–76. MR 100848, https://doi.org/10.1090/S0002-9904-1959-10282-2
- [5] P.A. Smith, Fixed-point theorems for periodic transformations, Amer. J. Math. 63 (1941), 1–8. MR 3199, https://doi.org/10.2307/2371271
- [6]
J. H. C. Whitehead, Simplicial spaces, nuclei and
-groups, Proc. London Math. Soc. vol. 45 (1939) pp. 243-327.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55.00
Retrieve articles in all journals with MSC: 55.00
Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1959-0105115-X
Article copyright:
© Copyright 1959
American Mathematical Society