Hamel function

A function $h:\mathbb{R}^{n}\to\mathbb{R}$ is said to be a Hamel function if $h$ , considered as a subset $\{(x,h(x)\}\subset\mathbb{R}^{n+1}$ , is a Hamel basis for $\mathbb{R}^{n+1}$ over $\mathbb{Q}$ . We denote the set of $n$ -dimensional Hamel function by $HF(\mathbb{R}^{n})$ .

•

Poltka, K. On Functions Whose Graph is a Hamel Basis. Unpublised Ph.D. work. Online at http://academic.scranton.edu/faculty/PLOTKAK2/publications/ham_0911.pdf

Title	Hamel function
Canonical name	HamelFunction
Date of creation	2013-03-22 14:15:19
Last modified on	2013-03-22 14:15:19
Owner	mathcam (2727)
Last modified by	mathcam (2727)
Numerical id	7
Author	mathcam (2727)
Entry type	Definition
Classification	msc 15A03
Classification	msc 54C40