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

Goodwillie, Thomas G¹ ; Weiss, Michael²

¹ Department of Mathematics, Brown University, Box 1917, Providence, Rhode Island 02912-0001, USA
² Department of Mathematics, University of Aberdeen, Aberdeen, AB24 3UE, United Kingdom

Geometry & topology, Tome 3 (1999) no. 1, pp. 103-118.

Résumé

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 $V\mapsto emb\left(V,N\right)$ 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

Détail

DOI : 10.2140/gt.1999.3.103

Keywords: Embedding, immersion, calculus of functors

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