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arXiv:math/9905203 [math.GT]AbstractReferencesReviewsResources

Embeddings from the point of view of immersion theory: Part II

Thomas G. Goodwillie, Michael Weiss

Published 1999-05-28Version 1

Let M and N be smooth manifolds. For an open V of M let emb(V,N) be the space of embeddings from V to N. By results of Goodwillie and Goodwillie-Klein, the cofunctor V |--> emb(V,N) is analytic if dim(N)-dim(M) > 2. We deduce that its Taylor series converges to it. For details about the Taylor series, see Part I.

Comments: 16 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper4.abs.html
Journal: Geom. Topol. 3 (1999), 103-118
Categories: math.GT
Subjects: 57R40, 57R42
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