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A finite set of generators for the homeotopy group of a non-orientable surface

Published online by Cambridge University Press:  24 October 2008

D. R. J. Chillingworth
D. R. J. Chillingworth
Affiliation:
University of Warwick
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Extract

Let X be a closed surface, i.e. a compact connected 2-manifold without boundary. If Gx denotes the group of all homeomorphisms of X to itself, and Nx is the normal subgroup consisting of homeomorphisms which are isotopic to the identity, then the quotient group Gx/Nx is called the homeotopy group of X and is denoted by ∧x.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 2 , March 1969 , pp. 409 - 430
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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