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References
Bass, H., Heller, A., Swan, R.: The Whitehead group of a polynomial extension. Publ. Math. I.H.E.S.22, 61–79 (1964)
Burghelea, D.: The structure of block-automorphisms ofMxS 1. Topology16, 65–78 (1977)
Calabi, E.: Closed, locally euclidean, 4-dimensional manifolds. Bull. Amer. Math. Soc.63, 135 (1957)
Cappell, S.E.: Unitary nilpotent groups and HermitianK-theory I. Bull. Amer. Math. Soc.80, 1117–1122 (1974)
Černavskii, A.V.: Local contractibility of the homeomorphism group of a manifold. Soviet Math. Doklady9, 1171–1174 (1968)
Chapman, T.A.: Homotopy conditions which detect simple homotopy equivalences. Notices Amer. Math. Soc.23, A—670—671 (1976)
Dress, A.: Induction and structure theorems for orthogonal representations of finite groups. Ann. of Math.102, 291–325 (1975)
Edwards, R.D., Kirby, R.C.: Deformations of spaces of imbeddings. Ann. of Math.93, 63–88 (1971)
Epstein, D., Shub, M.: Expanding endomorphism of flat manifolds. Topology7, 139–141 (1968)
Farrell, F.T.: The obstruction to fibering a manifold over a circle. Indiana Univ. Math. Jour.21, 315–346 (1971)
Farrell, F.T.: The exponent ofU Nil. (To appear)
Farrell, F.T., Hsiang, W.C.: A geometric interpretation of the Künneth formula for algebraicK-theory. Bull. Amer. Math. Soc.74, 548–553 (1968)
Farrell, F.T., Hsiang, W.C.: A formula forK 1(R α[T]). Proc. Symp. Pure Math. 17, Applications of Categorical Algebra, A.M.S., 1970
Farrell, F.T., Hsiang, W.C.: Manifolds with π1=ℤ×α G. Amer. Jour. Math.95, 813–846 (1973)
Farrell, F.T., Hsiang, W.C.: RationalL-groups of Bieberbach groups. Comment. Math. Helvetici52, 89–109 (1977)
Farrell, F.T., Hsiang, W.C.: On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds. (To appear)
Ferry, S.: The homeomorphism group of a compact Hilbert cube manifold is an ANR. Ann. of Math. (1977)
Hsiang, W.C., Shaneson, J.L.: Fake Tori, pages 18–51. In Topology of Manifolds, Markham, Chicago 1970
Kirby, R.C., Siebenmann, L.C.: On the triangulation of manifolds and the Hauptvermutung. Bull. Amer. Math. Soc.75, 742–749 (1969)
Kirby, R.C., Siebenmann, L.C.: Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. Annals of Math. Studies, Princeton: University Press 1977
MacLane, S.: Homology. Math. Wissensch. 114, Berlin, Heidelberg, New York: Springer 1967
Quinn, F.: A geometric formulation of surgery, pages 500–511. In: Topology of Manifolds, Chicago: Markham 1970
Ranicki, A.: The algebraic theory of surgery (preprint)
Shaneson, J.L.: Some problems in HermitianK-theory, pages 41–56. In: AlgebraicK-theory III, Lecture Notes in Math. 343, Berlin, Heidelberg, New York: Springer 1973
Siebenmann, L.C.: Disruption of low-dimensional handlebody theory by Rohlin's theorem, pages 57–76. In: Topology of Manifolds, Chicago: Markham 1970
Waldhausen, F.: Whitehead groups of generalized free products, pages 155–179. In: AlgebraicK-theory II, Lecture Notes in Math. 342, Berlin, Heidelberg, New York: Springer 1973
Wall, C.T.C.: Surgery on Compact Manifolds. London, New York: Academic Press 1971
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Supported by the Institute for Advanced Study and the National Science Foundation
Partially supported by N.S.F. grant number GP 34324 X1
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Farrell, F.T., Hsiang, W.C. The topological-Euclidean space form problem. Invent Math 45, 181–192 (1978). https://doi.org/10.1007/BF01390272
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DOI: https://doi.org/10.1007/BF01390272