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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 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Topological rigidity for hyperbolic manifolds
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by F. T. Farrell and L. E. Jones PDF
Bull. Amer. Math. Soc. 19 (1988), 277-282
References
  • D. V. Anosov, Geodesic flows on closed Riemann manifolds with negative curvature. , Proceedings of the Steklov Institute of Mathematics, No. 90 (1967), American Mathematical Society, Providence, R.I., 1969. Translated from the Russian by S. Feder. MR 0242194
  • D. Burghelea and R. Lashof, Stability of concordances and the suspension homomorphism, Ann. of Math. (2) 105 (1977), no. 3, 449–472. MR 438365, DOI 10.2307/1970919
  • Steve Ferry, Homotoping $\varepsilon$-maps to homeomorphisms, Amer. J. Math. 101 (1979), no. 3, 567–582. MR 533191, DOI 10.2307/2373798
  • F. T. Farrell and W. C. Hsiang, On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 325–337. MR 520509
  • F. T. Farrell and W. C. Hsiang, On Novikov’s conjecture for nonpositively curved manifolds. I, Ann. of Math. (2) 113 (1981), no. 1, 199–209. MR 604047, DOI 10.2307/1971138
  • F. T. Farrell and W. C. Hsiang, The stable topological-hyperbolic space form problem for complete manifolds of finite volume, Invent. Math. 69 (1982), no. 1, 155–170. MR 671656, DOI 10.1007/BF01389189
  • F. T. Farrell and W. C. Hsiang, Topological characterization of flat and almost flat Riemannian manifolds $M^{n}$ $(n\not =3,\,4)$, Amer. J. Math. 105 (1983), no. 3, 641–672. MR 704219, DOI 10.2307/2374318
  • F. T. Farrell and L. E. Jones, $K$-theory and dynamics. I, Ann. of Math. (2) 124 (1986), no. 3, 531–569. MR 866708, DOI 10.2307/2007092
  • F. T. Farrell and L. E. Jones, $K$-theory and dynamics. II, Ann. of Math. (2) 126 (1987), no. 3, 451–493. MR 916716, DOI 10.2307/1971358
  • F. T. Farrell and L. E. Jones, The surgery $L$-groups of poly-(finite or cyclic) groups, Invent. Math. 91 (1988), no. 3, 559–586. MR 928498, DOI 10.1007/BF01388787
  • 11. F. T. Farrell and L. E. Jones, Foliated control theory. I and II, submitted for publication. 12. F. T. Farrell and L. E. Jones, Topological analogue of Mostow’s rigidity theorem, in preparation.
  • M. Gromov, Manifolds of negative curvature, J. Differential Geometry 13 (1978), no. 2, 223–230. MR 540941, DOI 10.4310/jdg/1214434487
  • A. E. Hatcher, Concordance spaces, higher simple-homotopy theory, and applications, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 3–21. MR 520490
  • 15. K. Igusa, Stability of pseudoisotopies, Seminar Notes 1, Aarhus Univ., Matematisk Institut, Aarhus, Denmark, 1982, pp. 27-37.
  • Lowell Jones, The nonsimply connected characteristic variety theorem, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 131–140. MR 520500
  • Robion C. Kirby and Laurence C. Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, Annals of Mathematics Studies, No. 88, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1977. With notes by John Milnor and Michael Atiyah. MR 0645390, DOI 10.1515/9781400881505
  • G. D. Mostow, Quasi-conformal mappings in $n$-space and the rigidity of hyperbolic space forms, Inst. Hautes Études Sci. Publ. Math. 34 (1968), 53–104. MR 236383, DOI 10.1007/BF02684590
  • Frank Quinn, Ends of maps. I, Ann. of Math. (2) 110 (1979), no. 2, 275–331. MR 549490, DOI 10.2307/1971262
  • Friedhelm Waldhausen, Algebraic $K$-theory of topological spaces. I, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 35–60. MR 520492
  • C. T. C. Wall, Surgery on compact manifolds, London Mathematical Society Monographs, No. 1, Academic Press, London-New York, 1970. MR 0431216
  • 22. K. Igusa, The stability theorem for pseudoisotopies, preprint.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 19 (1988), 277-282
  • MSC (1985): Primary 18F25, 22E40, 57D50
  • DOI: https://doi.org/10.1090/S0273-0979-1988-15640-6
  • MathSciNet review: 940487