Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
Book Information:

Author: 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 pp., ISBN 0-521-42024-5, $69.95$

References [Enhancements On Off] (What's this?)

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
  • William Browder, Surgery on simply-connected manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 65, Springer-Verlag, New York-Heidelberg, 1972. MR 0358813
  • J. Bryant, S. Ferry, W. Mio, and S. Weinberger, Topology of homology manifolds, Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 2, 324–328. MR 1183997, DOI 10.1090/S0273-0979-1993-00381-1
  • Sylvain E. Cappell and Julius L. Shaneson, Nonlinear similarity, Ann. of Math. (2) 113 (1981), no. 2, 315–355. MR 607895, DOI 10.2307/2006986
  • Sylvain E. Cappell and Julius L. Shaneson, Genera of algebraic varieties and counting of lattice points, Bull. Amer. Math. Soc. (N.S.) 30 (1994), no. 1, 62–69. MR 1217352, DOI 10.1090/S0273-0979-1994-00436-7
    • CS3
    ------, Euler-MacLauren expansions for lattices above dimension one, C. R. Acad. Sci. Paris (to appear).
  • Marshall M. Cohen, A course in simple-homotopy theory, Graduate Texts in Mathematics, Vol. 10, Springer-Verlag, New York-Berlin, 1973. MR 0362320
  • Ronald G. Douglas, $C^{\ast }$-algebra extensions and $K$-homology, Annals of Mathematics Studies, No. 95, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. MR 571362
  • F. Thomas Farrell and L. Edwin Jones, Classical aspherical manifolds, CBMS Regional Conference Series in Mathematics, vol. 75, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1990. MR 1056079, DOI 10.1090/cbms/075
    • 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).
  • Mark Goresky and Robert MacPherson, Intersection homology. II, Invent. Math. 72 (1983), no. 1, 77–129. MR 696691, DOI 10.1007/BF01389130
    • H
    I. Hambleton, Surgery theory, DMV Sem., vol. 11, Birkhäuser, Basel, 1989.
  • F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 9, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1962 (German). Zweite ergänzte Auflage. MR 0137706
  • W. C. Hsiang and William Pardon, When are topologically equivalent orthogonal transformations linearly equivalent?, Invent. Math. 68 (1982), no. 2, 275–316. MR 666164, DOI 10.1007/BF01394060
  • Wu-chung Hsiang and Julius L. Shaneson, Fake tori, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969) Markham, Chicago, Ill., 1970, pp. 18–51. MR 0281211
  • R. C. Kirby and L. C. Siebenmann, Some theorems on topological manifolds, Manifolds–Amsterdam 1970 (Proc. Nuffic Summer School), Lecture Notes in Mathematics, Vol. 197, Springer, Berlin, 1971, pp. 1–7. MR 0283807
  • Antoni A. Kosinski, Differential manifolds, Pure and Applied Mathematics, vol. 138, Academic Press, Inc., Boston, MA, 1993. MR 1190010
  • R. D. MacPherson, Chern classes for singular algebraic varieties, Ann. of Math. (2) 100 (1974), 423–432. MR 361141, DOI 10.2307/1971080
  • Ib Madsen and R. James Milgram, The classifying spaces for surgery and cobordism of manifolds, Annals of Mathematics Studies, No. 92, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1979. MR 548575
  • Ib Madsen and Melvin Rothenberg, On the classification of $G$-spheres. II. PL automorphism groups, Math. Scand. 64 (1989), no. 2, 161–218. MR 1037458, DOI 10.7146/math.scand.a-12253
  • J. Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966), 358–426. MR 196736, DOI 10.1090/S0002-9904-1966-11484-2
  • John Milnor, Lectures on the $h$-cobordism theorem, Princeton University Press, Princeton, N.J., 1965. Notes by L. Siebenmann and J. Sondow. MR 0190942
    • MiR
    R. Milgram and A. Ranicki, Notes on surgery theory, preprint.
    Ob
    ------, Proc. 1994 Oberwolfach Conf. Novikov Conjecture, Cambridge Univ. Press (to appear).
  • Robert Oliver, Whitehead groups of finite groups, London Mathematical Society Lecture Note Series, vol. 132, Cambridge University Press, Cambridge, 1988. MR 933091, DOI 10.1017/CBO9780511600654
  • Frank Quinn, Ends of maps. I, Ann. of Math. (2) 110 (1979), no. 2, 275–331. MR 549490, DOI 10.2307/1971262
  • Frank Quinn, Corrigendum to: “Resolutions of homology manifolds, and the topological characterization of manifolds” [Invent. Math. 72 (1983), no. 2, 267–284; MR0700771 (85b:57023)], Invent. Math. 85 (1986), no. 3, 653. MR 848688, DOI 10.1007/BF01390332
  • Andrew Ranicki, Lower $K$- and $L$-theory, London Mathematical Society Lecture Note Series, vol. 178, Cambridge University Press, Cambridge, 1992. MR 1208729, DOI 10.1017/CBO9780511526329
  • Andrew Ranicki, Exact sequences in the algebraic theory of surgery, Mathematical Notes, vol. 26, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1981. MR 620795
    • 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.
  • Jonathan Rosenberg, $C^{\ast }$-algebras, positive scalar curvature, and the Novikov conjecture, Inst. Hautes Études Sci. Publ. Math. 58 (1983), 197–212 (1984). MR 720934
    • Sh
    J. Shaneson, Characteristic classes, lattice points, and Euler-MacLaurin formulae, Proc. ICM 1994, Birkhaüser, Basel and Boston, MA (to appear).
  • C. T. C. Wall, Surgery on compact manifolds, London Mathematical Society Monographs, No. 1, Academic Press, London-New York, 1970. MR 0431216
  • C. T. C. Wall, On homotopy tori and the annulus theorem, Bull. London Math. Soc. 1 (1969), 95–97. MR 242164, DOI 10.1112/blms/1.1.95
    • W1
    S. Weinberger, The topological classification of stratified spaces, Chicago Lectures in Math., Univ. Chicago Press, Chicago, IL, 1994. CMP 95:05
  • Shmuel Weinberger, On smooth surgery, Comm. Pure Appl. Math. 43 (1990), no. 5, 695–696. MR 1057237, DOI 10.1002/cpa.3160430507
    • W3
    ------, Nonlocally linear manifolds and orbifolds, Proc. ICM 1994, Birkhauser, Basel and Boston, MA (to appear).
  • Masayuki Yamasaki, $L$-groups of crystallographic groups, Invent. Math. 88 (1987), no. 3, 571–602. MR 884801, DOI 10.1007/BF01391832
    • Review Information:

    Reviewer: Shmuel Weinberger
    Affiliation: University of Pennsylvania
    Email: shmuel@math.upenn.edu
    Journal: Bull. Amer. Math. Soc. 33 (1996), 93-99
    DOI: https://doi.org/10.1090/S0273-0979-96-00618-0
    Review copyright: © Copyright 1996 American Mathematical Society