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Low-dimensional concordances, Whitney towers and isotopies

Published online by Cambridge University Press:  24 October 2008

Slawomir Kwasik
Slawomir Kwasik
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A.
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Extract

Let Mn be a smooth closed n-dimensional manifold and let DIFF (Mn) be the group of diffeomorphisms of Mn. Two diffeomorphisms f0, f1 ∈ DIFF(Mn) are said to be concordant (pseudo-isotopic) if there is a diffeomorphism F ∈ DIFF (Mn × I), where I = [0, 1], such that F(x, 0) = f0(x) and F(x, 1) = f1(x) for all x ∈ Mn.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 1 , July 1987 , pp. 103 - 119
Copyright
Copyright © Cambridge Philosophical Society 1987

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