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Book Information

Author(s): A. A. Ranicki
Title: Algebraic L-theory and topological manifolds
Additional book information: Cambridge Tracts in Math., vol. 102, Cambridge Univ. Press, Cambridge, 1992, 358, $69.95, 0-521-42024-5

B1: J. Block, The Bott periodicity theorem, Raoul Bott: Collected Papers, vol. 1, Contemp. Math., Birkhauser, Boston, MA, 1995, pp. 48--51. CMP 94:13
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CS2: ------, Genera of algebraic varieties and counting of lattice points, Bull. Amer. Math. Soc. (N.S.) 30 (1994), 62--69. MR 94f:14018
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D: R. Douglas, -algebra extensions and -homology, Princeton Univ. Press, Princeton, NJ, 1980. MR 82c:46082
FJ: F. T. Farrell and L. Jones, Classical aspherical manifolds, CBMS Regional Conf. Ser. in Math., vol. 75, Amer. Math. Soc., Providence, RI, 1990. MR 91k:57001
F: S. Ferry, Lectures on topological topology, Oxford Univ. Press (to appear).
FP: S. Ferry and E. Pederson, Epsilon surgery theory, Proc. 1994 Oberwolfach Conf. Novikov Conjecture, Cambridge Univ. Press (to appear).
GM: M. Goresky and R. MacPherson, Intersection homology. I, II, Topology 19 (1982), 135--162; Invent. Math. 72 (1983), 77--129. MR 84i:57012
H: I. Hambleton, Surgery theory, DMV Sem., vol. 11, Birkhäuser, Basel, 1989.
Hi: F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie. Zweite erganzte Auflage, Ergeb. Math. Grenzgeb. (3), heft 9, Springer-Verlag, Berlin, 1962. MR 25:1155
HP: W. C. Hsiang and W. Pardon, When are topologically equivalent orthogonal transformations linearly equivalent?, Invent. Math. 68 (1982), 275--316. MR 84g:57037
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KS: R. Kirby and L. Siebenmann, Some theorems on topological manifolds, Manifolds-Amsterdam 1970 (Proc. Nuffic Summer School), Lecture Notes in Math., vol. 197, Springer, New York, pp. 1--7. See also Foundational essays on topological manifolds, smoothings and triangulations, Ann. of Math. Stud., vol. 88, Princeton Univ. Press, Princeton, NJ. MR 44:1037
KO: A. Kosinski, Differentiable manifolds, Academic Press, San Diego, CA, 1993. MR 95b:57001
Mp: R. MacPherson, Chern classes for singular algebraic varieties, Ann. of Math. (2) 100 (1974), 423--432. MR 50:13587
MM: I. Madsen and R. J. Milgram, The classifying spaces for surgery and cobordism of manifolds, Ann. of Math. Stud., vol. 92, Princeton Univ. Press, Princeton, NJ, 1981. MR 81b:57014
MR: I. Madsen and M. Rothenberg, On the classification of G-spheres. I. Equivariant transversality, Acta Math. 160 (1988), 65--104. II; PL automorphism groups, Math. Scand. 64 (1989), 161--218; III (Preprint). MR 91d:57024; MR 89f:57054
Mi1: J. Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966), 358--426. MR 33:4922
Mi2: ------, Lectures on the h-cobordism theorem, Princeton Univ. Press, Princeton, NJ, 1965. MR 32:8352
MiR: R. Milgram and A. Ranicki, Notes on surgery theory, preprint.
Ob: ------, Proc. 1994 Oberwolfach Conf. Novikov Conjecture, Cambridge Univ. Press (to appear).
O: R. Oliver, Whitehead groups of finite groups, London Math. Soc. Lecture Note Ser., vol. 132, Cambridge Univ. Press, Cambridge and New York, 1988. MR 89h:18014
Q1: F. Quinn, Ends of maps. I, II, III, IV, Ann. of Math. 110 (1979), 275--331; Invent. Math. 68 (1982), 353--424; J. Diff. Geom. 17 (1982), 503--521; Amer. J. Math. 108 (1986), 1139--1161. MR 82k:57009; MR 84j:57011; MR 84j:57012; MR 88j:57014
Q2: ------, Resolutions of homology manifolds, and the topological characterization of manifolds, Invent. Math. 72 (1983), 267--284. MR 87g:57031
R1: A. Ranicki, Lower K- and L-theory, London Math. Soc. Lecture Note Ser., vol. 178, Cambridge Univ. Press, Cambridge and New York, 1992. MR 94f:19001
R1: ------, Exact sequences in the algebraic theory of surgery, Princeton Univ. Press, Princeton, NJ, 1980. MR 82h:57027
RO: M. Rothenberg, Review of Equivariant surgery theories and their periodicity properties, by K. H. Dovermann and R. Schultz, Bull. Amer. Math. Soc. (N.S.) 28 (1993), 375--382.
Ros: J. Rosenberg, -algebras, positive scalar curvature, and the Novikov conjecture, Inst. Hautes Études Sci. Publ. Math. 58 (1984), 197--212. MR 85g:58083
Sh: J. Shaneson, Characteristic classes, lattice points, and Euler-MacLaurin formulae, Proc. ICM 1994, Birkhaüser, Basel and Boston, MA (to appear).
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W1: S. Weinberger, The topological classification of stratified spaces, Chicago Lectures in Math., Univ. Chicago Press, Chicago, IL, 1994. CMP 95:05
W2: ------, On smooth surgery, Comm. Pure Appl. Math. 43 (1990), 695--696. MR 91c:57037
W3: ------, Nonlocally linear manifolds and orbifolds, Proc. ICM 1994, Birkhauser, Basel and Boston, MA (to appear).
Y: M. Yamasaki, L-groups of crystallographic groups, Invent. Math. 88 (1987), pp. 571--602. MR 88c:57017

Reviewer(s):
Shmuel Weinberger
Affiliation: University of Pennsylvania
Email: shmuel@math.upenn.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 33 (1996), 93-99.
DOI: 10.1090/S0273-0979-96-00618-0
PII: S 0273-0979(96)00618-0
Copyright of article: Copyright 1996, American Mathematical Society

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

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