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G&T Monographs |
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Embeddings from the point of view of immersion theory :
Part II
Thomas G Goodwillie and Michael Weiss
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Geometry & Topology 3 (1999)
103–118
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Abstract
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Let M and N be smooth manifolds. For an open V⊂ M
let emb(V,N) be the space of embeddings from V
to N. By the results of Goodwillie and Goodwillie–Klein,
the cofunctor V↦emb(V,N) is analytic if
dim(N)-dim(M)≥3. We deduce that its Taylor
series converges to it. For details about the Taylor series, see Part I
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Keywords
Embedding, immersion, calculus of
functors
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Mathematical Subject Classification
Primary: 57R40
Secondary: 57R42
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Publication
Received: 10 May 1998
Revised: 5 May 1999
Accepted: 13 May 1999
Published: 28 May 1999
Proposed: Ralph Cohen
Seconded: Haynes Miller, Gunnar Carlsson
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