# Whitney ’ S Problem on Extendability of Functions and an Intrinsic Metric

@inproceedings{Zobin2003WhitneyS, title={Whitney ’ S Problem on Extendability of Functions and an Intrinsic Metric}, author={Nahum Zobin}, year={2003} }

- Published 2003

We consider the space of functions with bounded (k + 1)-th derivatives in a general domain in Rn. Is every such function extendible to a function of the same class defined on the whole Rn? H.Whitney showed that the equivalence of the intrinsic (=geodesic) metric in this domain to the Euclidean one is sufficient for such extendability. There was an old conjecture (going back to H.Whitney) that this equivalence is also necessary for extendability. We disprove this conjecture and construct… CONTINUE READING

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## An example related to Whitney extension with almost minimal C m norm

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