Deforming homotopy equivalences to homeomorphisms in aspherical manifolds
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- by P. E. Conner and Frank Raymond PDF
- Bull. Amer. Math. Soc. 83 (1977), 36-85
References
- Robert Bieri, Gruppen mit Poincaré-Dualität, Comment. Math. Helv. 47 (1972), 373–396 (German). MR 352290, DOI 10.1007/BF02566811
- Robert Bieri and Beno Eckmann, Groups with homological duality generalizing Poincaré duality, Invent. Math. 20 (1973), 103–124. MR 340449, DOI 10.1007/BF01404060
- Robert Bieri and Beno Eckmann, Finiteness properties of duality groups, Comment. Math. Helv. 49 (1974), 74–83. MR 340450, DOI 10.1007/BF02566720
- R. L. Bishop and B. O’Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969), 1–49. MR 251664, DOI 10.1090/S0002-9947-1969-0251664-4
- Edward M. Bloomberg, Manifolds with no periodic homeomorphisms, Trans. Amer. Math. Soc. 202 (1975), 67–78. MR 358842, DOI 10.1090/S0002-9947-1975-0358842-7
- Armand Borel, Seminar on transformation groups, Annals of Mathematics Studies, No. 46, Princeton University Press, Princeton, N.J., 1960. With contributions by G. Bredon, E. E. Floyd, D. Montgomery, R. Palais. MR 0116341
- Kenneth S. Brown, Euler characteristics of discrete groups and $G$-spaces, Invent. Math. 27 (1974), 229–264. MR 385007, DOI 10.1007/BF01390176
- James B. Carrell, Holomorphically injective complex toral actions, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 299, Springer, Berlin, 1972, pp. 205–236. MR 0590935
- L. S. Charlap and A. T. Vasquez, Compact flat riemannian manifolds. III. The group of affinities, Amer. J. Math. 95 (1973), 471–494. MR 336658, DOI 10.2307/2373726
- Pierre E. Conner, Differentiable periodic maps, 2nd ed., Lecture Notes in Mathematics, vol. 738, Springer, Berlin, 1979. MR 548463, DOI 10.1007/BFb0063217
- P. E. Conner and Frank Raymond, Actions of compact Lie groups on aspherical manifolds, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969) Markham, Chicago, Ill., 1970, pp. 227–264. MR 0271958
- P. E. Conner and Frank Raymond, Injective operations of the toral groups, Topology 10 (1971), 283–296. MR 281218, DOI 10.1016/0040-9383(71)90021-8
- P. E. Conner and Frank Raymond, Realizing finite groups of homeomorphisms from homotopy classes of self-homotopy-equivalences, Manifolds—Tokyo 1973 (Proc. Internat. Conf., Tokyo, 1973) Univ. Tokyo Press, Tokyo, 1975, pp. 231–237. MR 0368045
- P. E. Conner and Frank Raymond, Holomorphic Seifert fiberings, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 299, Springer, Berlin, 1972, pp. 124–204. MR 0590802
- P. E. Conner and Frank Raymond, Derived actions, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 299, Springer, Berlin, 1972, pp. 237–310. MR 0646080
- P. E. Conner and Frank Raymond, Injective operations of the toral groups. II, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 299, Springer, Berlin, 1972, pp. 109–123. MR 0646079
- P. E. Conner and Frank Raymond, Manifolds with few periodic homeomorphisms, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 299, Springer, Berlin, 1972, pp. 1–75. MR 0358835
- P. E. Conner, Frank Raymond, and Peter J. Weinberger, Manifolds with no periodic maps, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 299, Springer, Berlin, 1972, pp. 81–108. MR 0358836
- Samuel Eilenberg and Tudor Ganea, On the Lusternik-Schnirelmann category of abstract groups, Ann. of Math. (2) 65 (1957), 517–518. MR 85510, DOI 10.2307/1970062
- D. H. Gottlieb, A certain subgroup of the fundamental group, Amer. J. Math. 87 (1965), 840–856. MR 189027, DOI 10.2307/2373248
- Olof Hanner, Some theorems on absolute neighborhood retracts, Ark. Mat. 1 (1951), 389–408. MR 43459, DOI 10.1007/BF02591376
- Harald Holmann, Zur Abbildungstheorie komplexer Mannigfaltigkeiten, Math. Ann. 138 (1959), 428–441. MR 113241, DOI 10.1007/BF01459816
- Sze-tsen Hu, Homotopy theory, Pure and Applied Mathematics, Vol. VIII, Academic Press, New York-London, 1959. MR 0106454 24. F. E. A. Johnson, Manifolds of homotopy type K(π, 1). I, Proc. Cambridge Philos. Soc. 70 (1971), 387-393. MR 44 #7542. 25. F. E. A. Johnson, On the first end invariants of an exact sequence, Matematika 22 (1975), 60—70. 26. F. E. A. Johnson, On a conjecture of C. T. C. Wall (to appear).
- F. E. A. Johnson and C. T. C. Wall, On groups satisfying Poincaré duality, Ann. of Math. (2) 96 (1972), 592–598. MR 311796, DOI 10.2307/1970827
- K. Kodaira, On compact complex analytic surfaces. I, Ann. of Math. (2) 71 (1960), 111–152. MR 132556, DOI 10.2307/1969881
- H. Blaine Lawson Jr. and Shing Tung Yau, Compact manifolds of nonpositive curvature, J. Differential Geometry 7 (1972), 211–228. MR 334083
- Ronnie Lee and Frank Raymond, Manifolds covered by Euclidean space, Topology 14 (1975), 49–57. MR 365581, DOI 10.1016/0040-9383(75)90034-8
- A. M. Macbeath, Geometrical realization of isomorphisms between plane groups, Bull. Amer. Math. Soc. 71 (1965), 629–630. MR 177110, DOI 10.1090/S0002-9904-1965-11368-4
- Saunders Mac Lane, Natural associativity and commutativity, Rice Univ. Stud. 49 (1963), no. 4, 28–46. MR 170925
- Yozô Matsushima, Holomorphic vector fields and the first Chern class of a Hodge manifold, J. Differential Geometry 3 (1969), 477–480. MR 273553
- G. D. Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies, No. 78, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1973. MR 0385004 35. Paik Kee Kim and Jeffrey L. Tollefson, Splitting the PL involutions on non-prime 3 -manifolds (to appear).
- M. S. Raghunathan, Discrete subgroups of Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 68, Springer-Verlag, New York-Heidelberg, 1972. MR 0507234, DOI 10.1007/978-3-642-86426-1 37. Frank Raymond and Leonard Scott, The failure of Nielsen’s theorem in higher dimensions, Arch. Math, (to appear).
- Frank Raymond and Jeffrey L. Tollefson, Closed $3$-manifolds with no periodic maps, Trans. Amer. Math. Soc. 221 (1976), no. 2, 403–418. MR 415620, DOI 10.1090/S0002-9947-1976-0415620-9
- H. Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933), no. 1, 147–238 (German). MR 1555366, DOI 10.1007/BF02398271
- Jean-Pierre Serre, Cohomologie des groupes discrets, Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970) Ann. of Math. Studies, No. 70, Princeton Univ. Press, Princeton, N.J., 1971, pp. 77–169 (French). MR 0385006
- John Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481–488. MR 149457, DOI 10.1017/S0305004100036756
- John Stallings, Centerless groups—an algebraic formulation of Gottlieb’s theorem, Topology 4 (1965), 129–134. MR 202807, DOI 10.1016/0040-9383(65)90060-1
- Friedhelm Waldhausen, On irreducible $3$-manifolds which are sufficiently large, Ann. of Math. (2) 87 (1968), 56–88. MR 224099, DOI 10.2307/1970594
- C. T. C. Wall, The topological space-form problems, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969), Markham, Chicago, Ill., 1970, pp. 319–331. MR 0279819
- Joseph A. Wolf, Spaces of constant curvature, 2nd ed., University of California, Department of Mathematics, Berkeley, Calif., 1972. MR 0343213
- H. Cišang, Torus bundles over surfaces, Mat. Zametki 5 (1969), 569–576 (Russian). MR 248835
- Heiner Zieschang, On extensions of fundamental groups of surfaces and related groups, Bull. Amer. Math. Soc. 77 (1971), 1116–1119. MR 286891, DOI 10.1090/S0002-9904-1971-12887-2
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Additional Information
- Journal: Bull. Amer. Math. Soc. 83 (1977), 36-85
- MSC (1970): Primary 57-02, 57A10, 57A15, 57D50, 57E05, 57E10, 57E15, 57E30, 55F55, 55F65, 55C35, 22E40, 18H10, 20E40, 20J05, 20H15
- DOI: https://doi.org/10.1090/S0002-9904-1977-14179-7
- MathSciNet review: 0467777