The simplicity of certain groups of homeomorphisms

D. B. A. Epstein

Compositio Mathematica (1970)

  • Volume: 22, Issue: 2, page 165-173
  • ISSN: 0010-437X

How to cite


Epstein, D. B. A.. "The simplicity of certain groups of homeomorphisms." Compositio Mathematica 22.2 (1970): 165-173. <>.

author = {Epstein, D. B. A.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {165-173},
publisher = {Wolters-Noordhoff Publishing},
title = {The simplicity of certain groups of homeomorphisms},
url = {},
volume = {22},
year = {1970},

AU - Epstein, D. B. A.
TI - The simplicity of certain groups of homeomorphisms
JO - Compositio Mathematica
PY - 1970
PB - Wolters-Noordhoff Publishing
VL - 22
IS - 2
SP - 165
EP - 173
LA - eng
UR -
ER -


  1. R.D. Anderson [1] "On homeomorphisms...", Topology of 3-Manifolds, edited by M. K. Fort, Prentice Hall1961. 
  2. G.M. Fisher [2] "On the group of all homeomorphisms of a manifold", T.A.M.S. 97 (1960). pp. 193-212. Zbl0144.22902MR117712
  3. J. Palis AND S. Smale [3] "Structural Stability Theorem", (to appear). Zbl0214.50702MR267603
  4. J.F.P. Hudson AND E.C. Zeeman [4] "On Combinatorial Isotopy", Publication Mathematiques No. 19, I.H.E.S.. Zbl0136.21201
  5. S. Ulam AND J. Von Neumann [5] "On the group of homeomorphisms of the surface of a sphere", B.A. M.S.53 (1947). 

Citations in EuDML Documents

  1. Christophe Kapoudjian, Simplicity of Neretin's group of spheromorphisms
  2. Wojciech Wojtyński, One-parameter subgroups and the B-C-H formula
  3. Michael R. Herman, Sur le groupe des difféomorphismes du tore
  4. Tomasz Rybicki, On the uniform perfectness of groups of bundle homeomorphisms
  5. Wensor Ling, Factorizable groups of homeomorphisms
  6. P. Michor, Manifolds of smooth maps IV : theorem of De Rham
  7. Takashi Tsuboi, On the group of real analytic diffeomorphisms
  8. Kōjun Abe, Kazuhiko Fukui, On the first homology of automorphism groups of manifolds with geometric structures
  9. Tomasz Rybicki, Commutators of diffeomorphisms of a manifold with boundary

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