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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
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 0001920
(1,319a)
- [2]
Samuel
Eilenberg and Norman
Steenrod, Foundations of algebraic topology, Princeton
University Press, Princeton, New Jersey, 1952. MR 0050886
(14,398b)
- [3]
E.
E. Floyd, Fixed point sets of compact abelian Lie groups of
transformations, Ann. of Math. (2) 66 (1957),
30–35. MR
0088733 (19,571e)
- [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 0100848
(20 #7276), http://dx.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 0003199
(2,179c)
- [6]
J. H. C. Whitehead, Simplicial spaces, nuclei and
-groups, Proc. London Math. Soc. vol. 45 (1939) pp. 243-327.
- [1]
- S. Eilenberg, On a theorem of P. A. Smith concerning fixed points for periodic transformations, Duke Math. J. vol. 6 (1940) pp. 428-437. MR 0001920 (1:319a)
- [2]
- S. Eilenberg and N. Steenrod, Foundations of algebraic topology, Princeton, 1952. MR 0050886 (14:398b)
- [3]
- E. E. Floyd, Fixed point sets of compact abelian Lie groups of transformations, Ann. of Math. vol. 66 (1957) pp. 30-35. MR 0088733 (19:571e)
- [4]
- E. E. Floyd and R. W. Richardson, Jr., An action of a finite group on an
-cell without stationary points, Bull. Amer. Math. Soc. vol. 65 (1959) pp. 73-76. MR 0100848 (20:7276)
- [5]
- P. A. Smith, Fixed point theorems for periodic maps, Amer. J. Math. vol. 63 (1941) pp. 1-8. MR 0003199 (2:179c)
- [6]
- J. H. C. Whitehead, Simplicial spaces, nuclei and
-groups, Proc. London Math. Soc. vol. 45 (1939) pp. 243-327.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1959-0105115-X
PII:
S 0002-9939(1959)0105115-X
Article copyright:
© Copyright 1959 American Mathematical Society
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