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Topological rigidity for hyperbolic manifolds
Authors:
F. T. Farrell and L. E. Jones
Journal:
Bull. Amer. Math. Soc. 19 (1988), 277-282
MSC (1985):
Primary 18F25, 22E40, 57D50
MathSciNet review:
940487
Full-text PDF
References |
Similar Articles |
Additional Information
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(81f:57007b), http://dx.doi.org/10.2307/2373799
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C. Hsiang, On Novikov’s conjecture for nonpositively curved
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T. Farrell and W.
C. Hsiang, The stable topological-hyperbolic space form problem for
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(1982), no. 1, 155–170. MR 671656
(84c:57027), http://dx.doi.org/10.1007/BF01389189
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T. Farrell and W.
C. Hsiang, Topological characterization of flat and almost flat
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124 (1986), no. 3, 531–569. MR 866708
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T. Farrell and L.
E. Jones, 𝐾-theory and dynamics. II, Ann. of Math. (2)
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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 (89d:57049), http://dx.doi.org/10.1007/BF01388787
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F. T. Farrell and L. E. Jones, Foliated control theory. I and II, submitted for publication.
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(80h:53040)
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Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978,
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Math. Soc., Providence, R.I., 1978, pp. 131–140. MR 520500
(84k:57018)
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Waldhausen, Algebraic 𝐾-theory of topological spaces.
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XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 35–60. MR 520492
(81i:18014a)
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London, 1970. London Mathematical Society Monographs, No. 1. MR 0431216
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- 22.
K. Igusa, The stability theorem for pseudoisotopies, preprint.
- 1.
- D. V. Anosov, Geodesic flows on closed Riemannian manifolds with negative curvature, Proc. Steklov Inst. Math. 90 (1969). MR 242194
- 2.
- D. Burghelea and R. Lashof, Stability of concordances and the suspension homomorphism, Ann. of Math. (2) 105 (1977), 449-472. MR 438365
- 3.
- T. A. Chapman and S. Ferry, Approximating homotopy equivalences by homeomorphisms, Amer. J. Math. 101 (1979), 567-582. MR 533192
- 4.
- F. T. Farrell and W. -C. Hsiang, On the rational homotopy groups of the diffeomorphism groups of discs, spheres, and aspherical manifolds, Proc. Sympos. Pure Math. vol. 32, Amer. Math. Soc. Providence, R. I., 1978, pp. 325-337. MR 520509
- 5.
- F. T. Farrell and W. -C. Hsiang, On Novikov's conjecture for non-positively curved manifolds. I, Ann. of Math. (2) 113 (1981), 199-209. MR 604047
- 6.
- F. T. Farrell and W. -C. Hsiang, The stable topological-hyperbolic space form problem for finite volume manifolds, Invent. Math. 69 (1982), 155-170. MR 671656
- 7.
- F. T. Farrell and W. -C. Hsiang, Topological characterization of flat and almost flat Riemannian manifolds M 3, 4), Amer. J. Math. 105 (1983), 641-672. MR 704219
- 8.
- F. T. Farrell and L. E. Jones, K-theory and dynamics. I, Ann. of Math. (2) 124 (1986), 531-569. MR 866708
- 9.
- F. T. Farrell and L. E. Jones, K-theory and dynamics. II, Ann. of Math. (2) 126 (1987), 451-493. MR 916716
- 10.
- F. T. Farrell and L. E. Jones, The surgery L-groups of poly-(finite or cyclic) groups, Invent. Math. (1988). MR 928498
- 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.
- 13.
- M. Gromov, Manifolds of negative curvature, J. Differential Geom. 13 (1978), 223-230. MR 540941
- 14.
- A. E. Hatcher, Concordance spaces, higher simple homotopy theory, and applications, Proc. Sympos. Pure Math., vol. 32, 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.
- 16.
- L. E. Jones, The nonsimply connected characteristic variety theorem, Proc. Sympos. Pure Math., vol 32, Amer. Math. Soc., Providence, R. I., 1978, pp. 131-140. MR 520500
- 17.
- R. C. Kirby and L. C. Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, Ann. of Math. Studies, Princeton Univ. Press, Princeton, N. J., 1977. MR 645390
- 18.
- G. D. Mostow, Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms, Publ. Inst. Hautes Études Sci. 34 (1967), 53-104. MR 236383
- 19.
- F. Quinn, Ends of maps. I, Ann. of Math. (2) 110 (1979), 275-331. MR 549490
- 20.
- F. Waldhausen, Algebraic K-theory of topological spaces. I, Proc. Sympos. Pure Math., vol 32, Amer. Math. Soc., Providence, R. I., 1978, pp. 35-60. MR 520492
- 21.
- C. T. C. Wall, Surgery on compact manifolds, Academic Press, New York, 1970. MR 431216
- 22.
- K. Igusa, The stability theorem for pseudoisotopies, preprint.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1988-15640-6
PII:
S 0273-0979(1988)15640-6
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