Representations of the Whitehead manifold W h 3 and Julia sets

Valentin Poénaru; Corrado Tanasi

Annales de la Faculté des sciences de Toulouse : Mathématiques (1995)

  • Volume: 4, Issue: 3, page 655-694
  • ISSN: 0240-2963

How to cite

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Poénaru, Valentin, and Tanasi, Corrado. "Representations of the Whitehead manifold $Wh^3$ and Julia sets." Annales de la Faculté des sciences de Toulouse : Mathématiques 4.3 (1995): 655-694. <http://eudml.org/doc/73362>.

@article{Poénaru1995,
author = {Poénaru, Valentin, Tanasi, Corrado},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Whitehead manifold; pseudo-spine representation; homotopy 3-spheres; Julia sets},
language = {eng},
number = {3},
pages = {655-694},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Representations of the Whitehead manifold $Wh^3$ and Julia sets},
url = {http://eudml.org/doc/73362},
volume = {4},
year = {1995},
}

TY - JOUR
AU - Poénaru, Valentin
AU - Tanasi, Corrado
TI - Representations of the Whitehead manifold $Wh^3$ and Julia sets
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1995
PB - UNIVERSITE PAUL SABATIER
VL - 4
IS - 3
SP - 655
EP - 694
LA - eng
KW - Whitehead manifold; pseudo-spine representation; homotopy 3-spheres; Julia sets
UR - http://eudml.org/doc/73362
ER -

References

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  1. [B] Blanchard ( P.) .— Complex analytic dynamics on the Riemann sphere, B.A.M.S.11, n° 1 (1984), pp. 85-141. Zbl0558.58017MR741725
  2. [F] Feigenbaum ( M.) . — Universal behaviour in nonlinear systems, Los Alamos Science1 (1980), pp. 4-27. MR608366
  3. [FL] Freedman ( M.) and Luo ( F.) .— Selected applications of Geometry to low-dimensional Topology, Marker Lectures in the Math. Sciences, Princ. Univ. (1989). Zbl0691.57001MR1043633
  4. [Po1] Poénaru ( V.) . — Infinite processes and the 3-dimensional Poincaré conjecture 1 - The collapsible pseudo-spine representation theorem, Topology31 (1992), pp. 625-636. Zbl0777.57013MR1174263
  5. [Po2] Poénaru ( V.) .— Representations of open simply connected 3-manifolds, a finiteness result, Prépublication d'Orsay (1992). 
  6. [R] Rolfsen ( D.) .— Knots and Links, Math. Lect. Series (1976). Zbl0339.55004MR515288
  7. [S] Smale ( S.) .— Differentiable dynamical systems, Bull. A.M.S.73, n° 6 (1967), pp. 747-817. Zbl0202.55202MR228014

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