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Arc criterion of normal embedding. (arXiv:1710.01811v1 [math.MG])
来源于:arXiv
We present a criterion of local Normal Embedding of a semialgebraic (or
definable in an o-minimal structure) contained in $R^n$ in terms orders of
contact of arcs. Namely, we prove that a semialgebraic set is normally embedded
at a point x if and only if for any pair of arcs, coming to this point the
inner order of contact is equal to the outer order of contact. 查看全文>>