References
A.Borel, Fixed point theorems for elementary commutative groups. In: Seminar on Transformation Groups. Princeton 1960.
G. E.Bredon, Introduction to Compact Transformation Groups. New York-London 1972.
T. Tom Dieck, Lokalisierung äquivarianter Kohomologie-Theorien. Math. Z.121, 253–262 (1971).
T.Tom Dieck, Transformation Groups and Representation Theory. LNM766, Berlin-Heidelberg-New York 1979.
T. TomDieck and T.Petrie, The homotopy structure of finite group actions on spheres. Proc. Alg. Top., p. 222–243, Waterloo 1978, LNM741, Berlin-Heidelberg-New York 1979.
T.Tom Dieck and T.Petrie, Homotopy representations of finite groups. In preparation.
W. Y.Hsiang, Cohomology Theory of Topological Transformation Groups. Berlin-Heidelberg-New York 1975.
W. Iberkleid, Pseudo-linear spheres. Michigan Math. J.25, 369–370 (1978).
M. Masuda, Cohomology ofS 1-orbit spaces of cohomology spheres and cohomology complex projective spaces. Math. Z.176, 405–427 (1981).
D. Montgomery andC. T. Yang, Homotopy equivalence and differentiable pseudo-free circle actions on homotopy spheres. Michigan Math. J.20, 145–159 (1973).
D. Montgomery andC. T. Yang, On homotopy seven-spheres that admit differentiable pseudo-free circle actions. Michigan Math. J.20, 193–216 (1973).
D.Montgomery and C. T.Yang, Differentiable pseudo-free circle actions on homotopy seven spheres. Second Conf. Compact Transf. Groups, 41–101, Amherst 1971. LNM 298, Berlin-Heidelberg-New York 1972.
R. Oliver, Smooth compact Lie group actions on disks. Math. Z.149, 79–96 (1976).
T. Pétrie, Pseudoequivalences ofG-manifolds. Proc. Symp. Pure Math.32, 169–210 (1978).
G. Segal, EquivariantK-theory. Publ. Math. IHES34, 129–151 (1968).
P. Teaczyk, On theG-homotopy equivalence of spheres of representations. Math. Z.161, 257–261 (1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dleck, T.T. Homotopy representations of the torus. Arch. Math 38, 459–469 (1982). https://doi.org/10.1007/BF01304817
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01304817