Embeddings With Multiple Regularity
نویسنده
چکیده
We introduce (k, l)-regular maps, which generalize two previously studied classes of maps: affinely k-regular maps and totally skew embeddings. We exhibit some explicit examples and obtain bounds on the least dimension of a Euclidean space into which a manifold can be embedded by a (k, l)-regular map. The problem can be regarded as an extension of embedding theory to embeddings with certain nondegeneracy conditions imposed, and is related to approximation theory.
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تاریخ انتشار 2005