# Hyperhopfian groups and approximate fibrations

Compositio Mathematica (1993)

- Volume: 86, Issue: 2, page 159-176
- ISSN: 0010-437X

## Access Full Article

top## How to cite

topDaverman, R. J.. "Hyperhopfian groups and approximate fibrations." Compositio Mathematica 86.2 (1993): 159-176. <http://eudml.org/doc/90215>.

@article{Daverman1993,

author = {Daverman, R. J.},

journal = {Compositio Mathematica},

keywords = {shape equivalent to a manifold; manifold; approximate fibration; decomposition; codimension -fibrator; Hopfian manifolds; closed Hopfian manifolds with hyper-Hopfian fundamental group; codimension 2- fibrator},

language = {eng},

number = {2},

pages = {159-176},

publisher = {Kluwer Academic Publishers},

title = {Hyperhopfian groups and approximate fibrations},

url = {http://eudml.org/doc/90215},

volume = {86},

year = {1993},

}

TY - JOUR

AU - Daverman, R. J.

TI - Hyperhopfian groups and approximate fibrations

JO - Compositio Mathematica

PY - 1993

PB - Kluwer Academic Publishers

VL - 86

IS - 2

SP - 159

EP - 176

LA - eng

KW - shape equivalent to a manifold; manifold; approximate fibration; decomposition; codimension -fibrator; Hopfian manifolds; closed Hopfian manifolds with hyper-Hopfian fundamental group; codimension 2- fibrator

UR - http://eudml.org/doc/90215

ER -

## References

top- [C-D1] D.S. Coram and P.F. Duvall, Approximate fibrations, Rocky Mtn. J. Math.7 (1977), 275-288. Zbl0367.55019MR442921
- [C-D2] D.S. Coram and P.F. Duvall, Approximate fibrations and a movability condition for maps, Pacific J. Math.72 (1977), 41-56. Zbl0368.55016MR467745
- [D1] R.J. Daverman, Submanifold decompositions that induce approximate fibrations, Topology Appl.33 (1989), 173-184. Zbl0684.57009MR1020279
- [D2] R.J. Daverman, Manifolds with finite first homology as codimension 2 fibrators, Proc. Amer. Math. Soc.113 (1991), 471-477. Zbl0727.55009MR1086581
- [D3] R.J. Daverman, 3-Manifolds with geometric structures and approximate fibrations, Indiana Univ. Math. J.40 (1991), 1451-1469. Zbl0739.57007MR1142723
- [D-W] R.J. Daverman and J.J. Walsh, Decompositions into codimension two manifolds, Trans. Amer. Math. Soc.288 (1985), 273-291. Zbl0568.57013MR773061
- [G] K.W. Gruenberg, Residual properties of infinite solvable groups, Proc. London Math. Soc. (3) 7 (1957), 29-62. Zbl0077.02901MR87652
- [Ha] J.C. Hausmann, Geometric Hopfian and non-Hopfian situations, in Geometry and Topology (C. McCrory and T. Shiflin, eds.) Lecture Notes in Pure Appl. Math., Marcel Dekker, Inc., New York, 1987, 157-166. Zbl0607.57015MR873292
- [He] J. Hempel, Residual finiteness for 3-manifolds, in Combinatorial Group Theory and Topology (S. M. Gersten and J. R. Stallings, eds.), Annals of Math. Studies, No. 111, Princeton Univ. Press, Princeton, NJ, 1987, 379-396. Zbl0772.57002MR895623
- [I] Y.H. Im, Submanifold decompositions that induce approximate fibrations and approximation by bundle maps, Ph.D. Dissertation, University of Tennessee, Knoxville, 1991.
- [L] R. Lee, Semicharacteristic classes, Topology12 (1973), 183-199. Zbl0264.57012MR362367
- [Mi1] J. Milnor, Groups which act on Sn without fixed points, Amer. J. Math.79 (1957), 623-630. Zbl0078.16304MR90056
- [M2i] J. Milnor, Infinite cyclic coverings, in Conference on the Topology of Manifolds (J. G. Hocking, ed.), Prindle Weber & Schmidt, Inc., Boston, 1968, 115-133. Zbl0179.52302MR242163
- [Mu] J.R. Munkres, Elements of Algebraic Topology, Addison Wesley Publ. Co., New York, 1984. Zbl0673.55001MR755006
- [S-W] P. Scott and T. Wall, Topological methods in group theory, in Homological Group Theory (C. T. C. Wall, ed.), Cambridge Univ. Press, Cambridge, 1979, 137-203. Zbl0423.20023MR564422
- [S] E.H. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966. Zbl0145.43303MR210112
- [S1] G.A. Swarup, On embedded spheres in 3-manifolds, Math. Ann.203 (1973), 89-102. Zbl0241.55017MR328910
- [S2] G.A. Swarup, On a theorem of C. B. Thomas, J. London Math. Soc. (2) 8 (1974), 13-21. Zbl0281.57003MR341474
- [W] F. Waldhausen, Algebraic K-theory of generalized free products, Ann. of Math.108 (1978), 135-256. Zbl0407.18009MR498807

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.