Geometry & Topology

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

Thomas G Goodwillie and Michael Weiss

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Let M and N be smooth manifolds. For an open VM let emb(V,N) be the space of embeddings from V to N. By the results of Goodwillie and Goodwillie–Klein, the cofunctor Vemb(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

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

Received: 10 May 1998
Revised: 5 May 1999
Accepted: 13 May 1999
First available in Project Euclid: 21 December 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Embedding immersion calculus of functors


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.

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