Geometry & Topology 3 (1999) 103–118

DOI: 10.2140/gt.1999.3.103

arXiv: math.GT/9905203

Abstract

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

Keywords

Embedding, immersion, calculus of functors

Mathematical Subject Classification

Primary: 57R40

Secondary: 57R42

References

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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

Authors