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Book Information

Author(s): Matthias Kreck and Wolfgang Lück
Title: The Novikov Conjecture: Geometry and algebra
Additional book information: Oberwolfach Seminars, vol. 33, Birkhäuser-Verlag, Basel, 2005, xvi+ 267, US$49.95, ISBN 3-7643-7141-2

1.: Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg (eds.), Surveys on surgery theory. Vol. 1, Annals of Mathematics Studies, vol. 145, Princeton University Press, Princeton, NJ, 2000; Papers dedicated to C. T. C. Wall. MR 1746325 (2000k:57004)
2.: Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg (eds.), Surveys on surgery theory. Vol. 2, Annals of Mathematics Studies, vol. 149, Princeton University Press, Princeton, NJ, 2001; Papers dedicated to C. T. C. Wall. MR 1818769 (2001i:57001)
3.: Marshall M. Cohen, A course in simple-homotopy theory, Springer-Verlag, New York, 1973, Graduate Texts in Mathematics, Vol. 10. MR 0362320 (50:14762)
4.: Steven C. Ferry, Andrew Ranicki, and Jonathan Rosenberg (eds.), Novikov conjectures, index theorems and rigidity. Vol. 1, London Mathematical Society Lecture Note Series, vol. 226, Cambridge University Press, Cambridge, 1995, Including papers from the conference held at the Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, September 6-10, 1993. MR 1388294 (96m:57002)
5.: Steven C. Ferry, Andrew Ranicki, and Jonathan Rosenberg (eds.), Novikov conjectures, index theorems and rigidity. Vol. 2, London Mathematical Society Lecture Note Series, vol. 227, Cambridge University Press, Cambridge, 1995, Including papers from the conference held at the Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, September 6-10, 1993. MR 1388306 (96m:57003)
6.: Eric M. Friedlander and Daniel R. Grayson (eds.), Handbook of -theory, Springer-Verlag, Berlin, 2005, 2 volumes. MR 2182598 (2006e:19001)
7.: Michel A. Kervaire and John W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504-537. MR 0148075 (26:5584)
8.: John Milnor, On manifolds homeomorphic to the -sphere, Ann. of Math. (2) 64 (1956), 399-405. MR 0082103 (18:498d)
9.: -, Lectures on the -cobordism theorem, Notes by L. Siebenmann and J. Sondow, Princeton University Press, Princeton, NJ, 1965. MR 0190942 (32:8352)
10.: S. P. Novikov, Algebraic construction and properties of Hermitian analogs of -theory over rings with involution from the viewpoint of Hamiltonian formalism. Applications to differential topology and the theory of characteristic classes. I. II, Izv. Akad. Nauk SSSR Ser. Mat. 34 (1970), 253-288; ibid. 34 (1970), 475-500, English translation, Math. USSR-Izv. 4 (1970), 257-292, 479-505. MR 0292913 (45:1994)
11.: A. A. Ranicki, Algebraic -theory and topological manifolds, Cambridge Tracts in Mathematics, vol. 102, Cambridge University Press, Cambridge, 1992. MR 1211640 (94i:57051)
12.: Andrew Ranicki, Exact sequences in the algebraic theory of surgery, Mathematical Notes, vol. 26, Princeton University Press, Princeton, NJ, 1981. MR 620795 (82h:57027)
13.: -, Algebraic and geometric surgery, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, Oxford, 2002, Oxford Science Publications. MR 2061749 (2005e:57075)
14.: Colin Patrick Rourke and Brian Joseph Sanderson, Introduction to piecewise-linear topology, Springer Study Edition, Springer-Verlag, Berlin, 1982, Reprint. MR 665919 (83g:57009)
15.: Stephen Smale, Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math. (2) 74 (1961), 391-406. MR 0137124 (25:580)
16.: C. T. C. Wall, Surgery on compact manifolds, second ed., Mathematical Surveys and Monographs, vol. 69, American Mathematical Society, Providence, RI, 1999, edited and with a foreword by A. A. Ranicki. MR 1687388 (2000a:57089)
17.: Shmuel Weinberger, The topological classification of stratified spaces, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, IL, 1994. MR 1308714 (96b:57024)

Reviewer(s):
Jonathan Rosenberg
Affiliation: University of Maryland, College Park
Email: jmr@math.umd.edu

MSC (2000): Primary 57R67; Secondary 19J25
PII: S 0273-0979(06)01113-X
Posted: July 28, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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