Sankaran, P. ; Varadarajan, K.
(1994)
*On certain homeomorphism groups*
Journal of Pure and Applied Algebra, 92
(2).
pp. 191-197.
ISSN 0022-4049

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002240...

Related URL: http://dx.doi.org/10.1016/0022-4049(94)90024-8

## Abstract

Let R, Q, I and C denote respectively the reals, the rationals, the irrationals and the Cantor set endowed with their usual topologies. For any topological space X let G(X) denote the group of homeomorphisms of X. Let H(R) denote the group of orientation preserving homeomorphisms of R, S_{ω} the group of permutations of the set N of natural numbers and G_{0}(R^{n}) the group of homeomorphisms of R^{n} with compact support for any integer n≤1. We show that G*F can be imbedded in G when G is any one of the groups G(Q), G(I ), G( C), H( R), S_{ω} or G_{0}(R_{ n}) where F is a free group of rank c=#R .

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ID Code: | 57713 |

Deposited On: | 29 Aug 2011 08:22 |

Last Modified: | 29 Aug 2011 08:22 |

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