## Geometry & Topology

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

#### 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

#### Article information

Source
Geom. Topol., Volume 3, Number 1 (1999), 103-118.

Dates
Revised: 5 May 1999
Accepted: 13 May 1999
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.gt/1513883140

Digital Object Identifier
doi:10.2140/gt.1999.3.103

Mathematical Reviews number (MathSciNet)
MR1694808

Zentralblatt MATH identifier
0927.57028

Subjects
Primary: 57R40: Embeddings
Secondary: 57R42: Immersions

#### Citation

Goodwillie, Thomas G; Weiss, Michael. Embeddings from the point of view of immersion theory : Part II. Geom. Topol. 3 (1999), no. 1, 103--118. doi:10.2140/gt.1999.3.103. https://projecteuclid.org/euclid.gt/1513883140

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