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

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

1999-05-28

arxiv.org/abs/math/9905203v1

Geom. Topol. 3 (1999), 103-118

Mathematics

Geometric Topology

16 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper4.abs.html

Scientific paper

Let M and N be smooth manifolds. For an open V of M let emb(V,N) be the
space of embeddings from V to N. By results of Goodwillie and
Goodwillie-Klein, the cofunctor V |--> emb(V,N) is analytic if dim(N)-dim(M) >
2. We deduce that its Taylor series converges to it. For details about the
Taylor series, see Part I.

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