Embeddings from the point of view of immersion theory. II. (English) Zbl 0927.57028

This paper is the continuation of a paper by the second author [ibid. 3, 67-101 (1999; Zbl 0927.57027), see the review above]. By results of Goodwillie and Goodwillie-Klein, the cofunctor \(V \to \text{emb}(V,N)\) from the poset (category) of open subsets \(V\) of a smooth manifold \(M\) to the space of embeddings of \(V\) into a smooth manifold \(N\) is analytic if \(\dim(N) - \dim(N) \geq 3\). The authors prove that with this dimension restriction, the Taylor series for the cofunctor converges to the cofunctor.


57R40 Embeddings in differential topology
57R42 Immersions in differential topology


Zbl 0927.57027
Full Text: DOI arXiv EuDML EMIS


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