Abstract
A function $h : \mathbb{R}^n \to \mathbb{R}^k$ is called a Hamel function if it is a Hamel basis for $\mathbb{R}^{n+k}$. We prove that there exists a Hamel function which is finitely continuous (its graph can be covered by finitely many partial continuous functions). This answers the question posted in [3].
Citation
Krzysztof Płotka. Ireneusz Rec\l aw. "Finitely continuous Hamel functions.." Real Anal. Exchange 30 (2) 867 - 870, 2004-2005.
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