Factorizable groups of homeomorphisms

Wensor Ling

Compositio Mathematica (1984)

  • Volume: 51, Issue: 1, page 41-50
  • ISSN: 0010-437X

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Ling, Wensor. "Factorizable groups of homeomorphisms." Compositio Mathematica 51.1 (1984): 41-50. <http://eudml.org/doc/89632>.

@article{Ling1984,
author = {Ling, Wensor},
journal = {Compositio Mathematica},
keywords = {perfect subgroup; commutator subgroup; leaf preserving diffeomorphisms},
language = {eng},
number = {1},
pages = {41-50},
publisher = {Martinus Nijhoff Publishers},
title = {Factorizable groups of homeomorphisms},
url = {http://eudml.org/doc/89632},
volume = {51},
year = {1984},
}

TY - JOUR
AU - Ling, Wensor
TI - Factorizable groups of homeomorphisms
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 51
IS - 1
SP - 41
EP - 50
LA - eng
KW - perfect subgroup; commutator subgroup; leaf preserving diffeomorphisms
UR - http://eudml.org/doc/89632
ER -

References

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  1. [1] A. Banyaga: Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique, Comment. Math. Helvetici53 (1978) 174-227. Zbl0393.58007MR490874
  2. [2] A. Banyaga and J. Pulido: On the group of contact diffeomorphisms of R2n+1, Preprint (1978). 
  3. [3] R.D. Edwards and R.C. Kirby: Deformations of spaces of imbeddings, Ann. Math.93 (1971) 63-88. Zbl0214.50303MR283802
  4. [4] D.B.A. Epstein: The simplicity of certain groups of homeomorphisms, Compositio Mathematica22, Fasc. 2 (1970) 165-173. Zbl0205.28201MR267589
  5. [5] A. Fathi and Y-M. Visetti: Structure du groupe des homéomorphesmes préservent une measure sur une variété compacte, C.R. Acad. Sci. Paris, Ser. A-B284 (1977) no. 15, A849-A852. Zbl0343.57019MR433477
  6. [6] G.M. Fisher: On the group of all homeomorphisms of a manifold Trans. Amer. Math. Soc.97 (1960) 193-212. Zbl0144.22902MR117712
  7. [7] J.F.P. Hudson and E.C. Zeeman: On combinatorial isotopy, Publication Mathematiques No. 19, IHES. 
  8. [8] W. Ling: Classification theorems for manifold automorphism groups. Preprint (1980). 
  9. [9] W. Ling: Simple and perfect groups of manifold automorphism germs. Preprint (1978). 
  10. [10] J. Martinet: Formes de contact sur les variétés de dimension 3. Proceedings of Liverpool Singularities Symposium II, Lecture Notes in Math. V. 209, Springer-Verlag1971, 142-163. Zbl0215.23003MR350771
  11. [11] J.N. Mather: Commutators of diffeomorphisms I. Comment. Math. Helv.49 (1974) 512-528. Zbl0289.57014MR356129
  12. [12] J.N. Mather: Commutators of diffeomorphisms II. Comment. Math. Helv.50 (1975) 33-50. Zbl0299.58008MR375382
  13. [13] R.S. Palais: Extending diffeomorphisms. Proc. Amer. Math. Soc.11 (1960) 274-277. Zbl0095.16502MR117741
  14. [14] J. Palis and S. Smale: Structural Stability theorems. Proc. of Symp. in Pure Math., Vol. XIV, Global Analysis (1968), 223-231. Zbl0214.50702MR267603
  15. [15] W.P. Thurston: Foliations and group of diffeomorphisms. Bull. Amer. Math. Soc.80 (1974) 304-307. Zbl0295.57014MR339267
  16. [16] W.P. Thurston: On the structure of volume preserving diffeomorphisms. Preprint. 

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