Hyperhopfian groups and approximate fibrations

R. J. Daverman

Compositio Mathematica (1993)

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

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Daverman, 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

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  2. [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
  3. [D1] R.J. Daverman, Submanifold decompositions that induce approximate fibrations, Topology Appl.33 (1989), 173-184. Zbl0684.57009MR1020279
  4. [D2] R.J. Daverman, Manifolds with finite first homology as codimension 2 fibrators, Proc. Amer. Math. Soc.113 (1991), 471-477. Zbl0727.55009MR1086581
  5. [D3] R.J. Daverman, 3-Manifolds with geometric structures and approximate fibrations, Indiana Univ. Math. J.40 (1991), 1451-1469. Zbl0739.57007MR1142723
  6. [D-W] R.J. Daverman and J.J. Walsh, Decompositions into codimension two manifolds, Trans. Amer. Math. Soc.288 (1985), 273-291. Zbl0568.57013MR773061
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  9. [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
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  12. [Mi1] J. Milnor, Groups which act on Sn without fixed points, Amer. J. Math.79 (1957), 623-630. Zbl0078.16304MR90056
  13. [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
  14. [Mu] J.R. Munkres, Elements of Algebraic Topology, Addison Wesley Publ. Co., New York, 1984. Zbl0673.55001MR755006
  15. [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
  16. [S] E.H. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966. Zbl0145.43303MR210112
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