## 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.

### MSC:

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

### Keywords:

calculus of functors

Zbl 0927.57027
Full Text:

### References:

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