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2004-2005 Finitely continuous Hamel functions.
Krzysztof Płotka, Ireneusz Rec\l aw
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Real Anal. Exchange 30(2): 867-870 (2004-2005).


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].


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Krzysztof Płotka. Ireneusz Rec\l aw. "Finitely continuous Hamel functions.." Real Anal. Exchange 30 (2) 867 - 870, 2004-2005.


Published: 2004-2005
First available in Project Euclid: 15 October 2005

zbMATH: 1107.26006
MathSciNet: MR2177444

Primary: 26A15

Keywords: finitely continuous function; Hamel function

Rights: Copyright © 2004 Michigan State University Press

Vol.30 • No. 2 • 2004-2005
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