#### Volume 3, issue 1 (1999)

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

### Thomas G Goodwillie and Michael Weiss

Geometry & Topology 3 (1999) 103–118
 arXiv: math.GT/9905203
##### Abstract

Let $M$ and $N$ be smooth manifolds. For an open $V\subset M$ let $emb\left(V,N\right)$ be the space of embeddings from $V$ to $N$. By the results of Goodwillie and Goodwillie–Klein, the cofunctor $V↦emb\left(V,N\right)$ is analytic if $dim\left(N\right)-dim\left(M\right)\ge 3$. We deduce that its Taylor series converges to it. For details about the Taylor series, see Part I

##### Keywords
Embedding, immersion, calculus of functors
Primary: 57R40
Secondary: 57R42
##### 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
 Thomas G Goodwillie Department of Mathematics Brown University Box 1917 Providence Rhode Island 02912-0001 USA Michael Weiss Department of Mathematics University of Aberdeen Aberdeen AB24 3UE United Kingdom