Hausdorff combing of groups and π 1 ∞ for universal covering spaces of closed 3-manifolds

V. Poénaru; C. Tanasi

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 3, page 387-414
  • ISSN: 0391-173X

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Poénaru, V., and Tanasi, C.. "Hausdorff combing of groups and $\pi ^\infty _1$ for universal covering spaces of closed 3-manifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.3 (1993): 387-414. <http://eudml.org/doc/84155>.

@article{Poénaru1993,
author = {Poénaru, V., Tanasi, C.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {simple connectivity at infinity of universal covering space; Gromov geometry of the fundamental group of a closed 3-manifold; Cayley graph; combing},
language = {eng},
number = {3},
pages = {387-414},
publisher = {Scuola normale superiore},
title = {Hausdorff combing of groups and $\pi ^\infty _1$ for universal covering spaces of closed 3-manifolds},
url = {http://eudml.org/doc/84155},
volume = {20},
year = {1993},
}

TY - JOUR
AU - Poénaru, V.
AU - Tanasi, C.
TI - Hausdorff combing of groups and $\pi ^\infty _1$ for universal covering spaces of closed 3-manifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 3
SP - 387
EP - 414
LA - eng
KW - simple connectivity at infinity of universal covering space; Gromov geometry of the fundamental group of a closed 3-manifold; Cayley graph; combing
UR - http://eudml.org/doc/84155
ER -

References

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  2. [CDP] M. Coornaert - T. Delzant - A. Papadopoulos, Notes sur les groupes hyperboliques de Gromov (châpitres 1 à 12), Publication de Irma1990. MR1075994
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  4. [Da1] M.W. Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean spaces, Ann. of Math.117 (1983), 293-324. Zbl0531.57041MR690848
  5. [Da2] M.W. Davis, Private communication. 
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  9. [Gr2] M. Gromov, Hyperbolic groups, in Essays in group theory, S.M. Gersten Ed., MSRI Publication8 (1987), 75-263. Zbl0634.20015MR919829
  10. [P] C.D. Papakyriakopoulos, On Dehn's lemma and the asphericity of knots, Ann. of Math.1 (1957), 1-26. Zbl0078.16402MR90053
  11. [Po1] V. Poénaru, Infinite processes and the 3-dimensional Poincaré Conjecture, I (the collapsible pseudo-spine representation theorem), Topology31 (1992), 625-646. Zbl0777.57013MR1174263
  12. [Po2] V. Poénaru, Killing handles of index one stably and π∞ 1, Duke Math. J.73 (1991), 431-447. Zbl0738.57009
  13. [Po3] V. Poénaru, Almost convex groups, Lipschitz combing, and π∞ 1 for universal covering spaces of closed 3-manifolds, J. Differential Geom.35 (1992), 103-130. Zbl0777.57001
  14. [ShWhi] A. Shapiro - J.H.C. Whitehead, A proof and extension of Dehn's Lemma, Bull. Amer. Math. Soc.64 (1958), 174-178. Zbl0084.19104MR103474
  15. [SullTh] D. Sullivan - W. Thurston, Manifolds with canonical coordinate charts, some examples, Enseign. Math.29 (1983), 15-25. Zbl0529.53025MR702731
  16. [Th] W.P. Thurston, The geometry and topology of 3-manifolds, to appear. 

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