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Manifolds of smooth maps II: transversality

Published online by Cambridge University Press:  17 April 2009

Truong Công Nghê
Truong Công Nghê
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales 2006, Australia.
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Abstract

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We generalise the standard notion of transversality to maps between manifolds modelled on locally convex spaces and prove that all standard transversal theorems remain valid for this generalised notion.

As first applications, we use our generalised Transversal Density Theorem to prove several simple “generic” results for local smooth maps which parallel the usual ones.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 24 , Issue 1 , August 1981 , pp. 49 - 59
Copyright
Copyright © Australian Mathematical Society 1981

References

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