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Book Review
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Book Information
Author(s):
K. H. Dovermann and Reinhard Schultz
Title:
Equivariant surgery theories and their periodicity properties
Additional book information:
Lecture Notes in Mathematics, vol.~1443, Springer-Verlag, New York, 1990, 225 pp. US$24.00. ISBN 3-540-53042-8
References:
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- [CS]
- S. Cappell and J. Shaneson, Nonlinear similarity, Ann. of Math. (2) 113 (1981), 311-351. MR 607895 (83h:57060)
- [CW]
- S. Cappell and S. Weinberger, A geometric interpretation of Siebenmann's periodicity phenomenon, Proc. 1986 Georgia Topology Conference (McCrory and Shiffrin, eds.), Marcel Dekker Inc., New York and Basel, pp. 47-52. MR 873283 (88f:57040)
- [DM]
- J. Davis and J. Milgram, A survey of the spherical space form problem, Mathematical Surveys, vol. 2, Harwood, New York, 1985.
- [DoP]
- K. H. Dovermann and T. Petrie, G surgery. II, Mem. Amer. Math. Soc., vol. 37, Amer. Math. Soc., Providence, RI, 1982. MR 652862 (84c:57025)
- [DoR]
- K. H. Dovermann and M. Rothenberg, Equivariant surgery and classification of finite group actions on manifolds, Mem. Amer. Math. Soc., vol. 71, Amer. Math. Soc., Providence, RI, 1988. MR 920965 (89h:57032)
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- F. T. Farrell and L. Jones, A topological analogue of Mostow's rigidity theorem, J. Amer. Math. Soc. 2 (1989), 257-370. MR 973309 (90h:57023a)
- [FP]
- S. Ferry and E. Pederson, Epsilon surgery theory, Binghamton preprint (to appear).
- [GPW]
- K. Grove, P. Peterson and J. Y. Wu, Geometric finiteness theorems and controlled topology, Invent. Math. 99 (1990), 205-214. MR 1029396 (90k:53075)
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- M. Kervaire, Lectures on the theorems of Browder and Novikov and Siebenmann's thesis, Tata Institute of Fundamental Res., 1969. MR 0339227 (49:3989)
- [KM]
- M. Kervaire and J. Milnor, Groups of homotopy spheres, Ann. of Math. (2) 77 (1963), 504-537. MR 0148075 (26:5584)
- [LM]
- W. Luck and I. Madsen, Equivariant L-theory. I, II, Math. Z. 203 (1990), 503-526; 204 (1990), 253-268. MR 1038715 (91d:57022)
- [MTW]
- I. Madsen, C. B. Thomas, and C. T. C. Wall, The topological spherical spaceform problem. II, Topology 15 (1976), 375-382. MR 0426003 (54:13952)
- [Mi1]
- J. Milnor, A procedure for killing the homotopy groups of a manifold, Proc. Sympos. Pure Math., vol. 3, Amer. Math. Soc., Providence, RI, 1961, pp. 39-55. MR 0130696 (24:A556)
- [Mi2]
- J. Milnor, Lectures on the h-cobordism theorem, Princeton Univ. Press, Princeton, NJ, 1965. MR 0190942 (32:8352)
- [MoS]
- J. Morgan and D. Sullivan, The transversality characteristic class and linking cycles in surgery theory, Ann. of Math. 99 (1974), 384-463. MR 0350748 (50:3240)
- [Q]
- F. Quinn, Resolution of homology manifolds, Invent. Math. 72 (1983), 267-284; Corrigendum 85 (1986), 653. MR 700771 (85b:57023)
- [Su1]
- D. Sullivan, Triangulating homotopy equivalences, Princeton Ph.D. thesis, 1966.
- [Wa]
- C. T. C. Wall, Surgery on compact manifolds, Academic Press, New York, 1971. MR 0431216 (55:4217)
- [Wei]
- S. Weinberger, Aspects of the Novikov conjecture in geometric invariants of elliptic operators, Contemp. Math. 105 (1990), 281-297. MR 1047285 (91a:57020)
- [WY]
- S. Weinberger and M. Yan, Products in stratified surgery and periodicity, preprint.
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- T. Yoshida, Surgery obstructions of twisted products, J. Math. Okayama Univ. 24 (1982), 73-97. MR 660056 (83k:57027)
Additional Information:
Reviewer(s):
Mel
Rothenberg
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
375-382.
DOI:
10.1090/S0273-0979-1993-00368-9
PII:
S 0273-0979(1993)00368-9
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