Book Review
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MathSciNet review:
1567764
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Book Information:
Author:
Tammo tom Dieck
Title:
Transformation groups
Additional book information:
Studies in Mathematics, vol. 8, Walter de Gruyter, Berlin, New York, 1987, x + 311 pp., $71.00. ISBN 0-89925-029-7.
J. F. Adams, J.-P. Haeberly, S. Jackowski, and J. P. May, A generalization of the Segal conjecture, Topology 27 (1988), no. 1, 7–21. MR 935524, DOI 10.1016/0040-9383(88)90003-1
Glen E. Bredon, Introduction to compact transformation groups, Pure and Applied Mathematics, Vol. 46, Academic Press, New York-London, 1972. MR 0413144
Gunnar Carlsson, Equivariant stable homotopy and Segal’s Burnside ring conjecture, Ann. of Math. (2) 120 (1984), no. 2, 189–224. MR 763905, DOI 10.2307/2006940
4. G. Carlsson, Equivariant stable homotopy and Sullivan's conjecture, Preprint.
Tammo tom Dieck, Transformation groups and representation theory, Lecture Notes in Mathematics, vol. 766, Springer, Berlin, 1979. MR 551743
J.-P. Haeberly, Some remarks on the Segal and Sullivan conjectures, Amer. J. Math. 110 (1988), no. 5, 833–847. MR 961497, DOI 10.2307/2374695
J. Lannes, Sur la cohomologie modulo $p$ des $p$-groupes abéliens élémentaires, Homotopy theory (Durham, 1985) London Math. Soc. Lecture Note Ser., vol. 117, Cambridge Univ. Press, Cambridge, 1987, pp. 97–116 (French). MR 932261
L. G. Lewis Jr., J. P. May, M. Steinberger, and J. E. McClure, Equivariant stable homotopy theory, Lecture Notes in Mathematics, vol. 1213, Springer-Verlag, Berlin, 1986. With contributions by J. E. McClure. MR 866482, DOI 10.1007/BFb0075778
9. J. P. May, Review of Transformation groups and representation theory, by Tammo tom Dieck, Bull. Amer. Math. Soc. (N.S.) 4 (1981), 90-93.
Haynes Miller, The Sullivan conjecture and homotopical representation theory, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986) Amer. Math. Soc., Providence, RI, 1987, pp. 580–589. MR 934259
11. R. Schultz (ed.), Group actions on manifolds, Contemp. Math. vol. 36, Amer. Math. Soc., Providence, R.I., 1985.
R. W. Thomason, The homotopy limit problem, Proceedings of the Northwestern Homotopy Theory Conference (Evanston, Ill., 1982) Contemp. Math., vol. 19, Amer. Math. Soc., Providence, R.I., 1983, pp. 407–419. MR 711065
Shmuel Weinberger, Constructions of group actions: a survey of some recent developments, Group actions on manifolds (Boulder, Colo., 1983) Contemp. Math., vol. 36, Amer. Math. Soc., Providence, RI, 1985, pp. 269–298. MR 780967, DOI 10.1090/conm/036/780967
- 1.
- J. F. Adams, J.-P, Haeberly, S. Jackowski, and J. P. May, A generalization of the Segal conjecture, Topology 27 (1988), 7-21. MR 0935524
- 2.
- G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972. MR 413144
- 3.
- G. Carlsson, Equivariant stable homotopy and Segal's Burnside ring conjecture, Ann. of Math. (2) 120 (1984), 189-224. MR 763905
- 4.
- G. Carlsson, Equivariant stable homotopy and Sullivan's conjecture, Preprint.
- 5.
- T. tom Dieck, Transformation groups and representation theory, Lecture Notes in Math., vol. 766, Springer-Verlag, Berlin and New York, 1979. MR 551743
- 6.
- J.-P. Haeberly, Some remarks on the Segal and Sullivan conjectures, Amer. J. Math. (to appear). MR 961497
- 7.
- J. Lannes, Sur la cohomologie modulo p des p-groupes abeliens elementaires, Preprint. MR 932261
- 8.
- L. G. Lewis, Jr., J. P. May, and M. Steinberger (with contributions by J. E. McClure), Equivariant stable homotopy theory, Lecture Notes in Math., vol. 1213, Springer-Verlag, Berlin and New York, 1986. MR 866482
- 9.
- J. P. May, Review of Transformation groups and representation theory, by Tammo tom Dieck, Bull. Amer. Math. Soc. (N.S.) 4 (1981), 90-93.
- 10.
- H. Miller, The Sullivan conjecture and homotopical representation theory, Preprint. MR 934259
- 11.
- R. Schultz (ed.), Group actions on manifolds, Contemp. Math. vol. 36, Amer. Math. Soc., Providence, R.I., 1985.
- 12.
- R. W. Thomason, The homotopy limit problem, Contemp. Math. vol. 19, Amer. Math. Soc., Providence, R.I., 1983, pp. 407-419. MR 711065
- 13.
- S. Weinberger, Constructions of group actions: a survey of some recent developments, Contemp. Math. vol. 36, Amer. Math. Soc., Providence, R.I., 1985, pp. 269-298. MR 780967
Review Information:
Reviewer:
J. Peter May
Journal:
Bull. Amer. Math. Soc.
20 (1989), 267-270
DOI:
https://doi.org/10.1090/S0273-0979-1989-15792-3