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A Multiple Disjunction Lemma for Smooth Concordance Embeddings
Thomas G. Goodwillie
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Memoirs of the American Mathematical Society
1990; 317 pp; softcover
Volume: 86
ISBN-10: 0-8218-2493-7
ISBN-13: 978-0-8218-2493-1
List Price: US$43
Individual Members: US$25.80
Institutional Members: US$34.40
Order Code: MEMO/86/431
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Requiring background in basic differential topology, this book is aimed at researchers interested in the homotopy type of spaces of smooth embeddings and spaces of diffeomorphisms. The author provides a proof of a useful connectivity estimate in the theory of concordances (or pseudo-isotopies), generalizing Morlet's result from triads to n-ads. The method of proof is a differentiable general position technique analogous to piecewise-linear "sunny collapsing."

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