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arXiv · 2106.08001

On some regularity condition

Beata Gryszka·Janusz Gwoździewicz
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Abstract

Let $\mathbb{K}$ be an uncountable field of characteristic zero and let $f$ be a function from $\mathbb{K}^n$ to $\mathbb{K}$. We show that if the restriction of $f$ to every affine plane $L\subset\mathbb{K}^n$ is regular, then $f$ is a regular function.

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Beata Gryszka, Janusz Gwoździewicz. 2021-06-15. On some regularity condition. https://doi.org/10.1007/s10998-022-00476-4

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