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Vector valued functions not constant on connected sets of critical points

Azat Ainouline
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Abstract

Whitney type examples of maps $f\in C^k(\real^m,\real^n)$ for a maximal possible real $k$, and multidimensional space-filling curves with special properties are constructed.

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Azat Ainouline. 2004-04-22. Vector valued functions not constant on connected sets of critical points. https://arxiv.org/abs/math/0404404

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