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A topology on the space of PL homeomorphisms of a PL manifold

Published online by Cambridge University Press:  24 October 2008

Anthony Smith
Anthony Smith
Affiliation:
Queen's University, Belfast
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Extract

0. Introduction. It has long been known that the space of all smooth homeomorphisms of a smooth manifold with the Cl topology can be given the structure of a smooth manifold. A path in this space corresponds to a diffeotopy. It has been shown more recently (1) that the space of all homeomorphisms of a topological manifold is locally contractible when given the C–0 topology. A path in this space corresponds to an isotopy.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 3 , November 1974 , pp. 497 - 502
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

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