Valdivia compact abelian groups.
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Wieslaw Kubis (2008)
RACSAM
He, Zhenhua, Chen, Can, Gu, Feng (2008)
The Journal of Nonlinear Sciences and its Applications
Lahiri, Benoy Kumar, Lahiri, Indrajit (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Arnold Miller, Strashimir Popvassilev (2000)
Fundamenta Mathematicae
We give examples of a Vitali set and a Hamel basis which are Marczewski measurable and perfectly dense. The Vitali set example answers a question posed by Jack Brown. We also show there is a Marczewski null Hamel basis for the reals, although a Vitali set cannot be Marczewski null. The proof of the existence of a Marczewski null Hamel basis for the plane is easier than for the reals and we give it first. We show that there is no easy way to get a Marczewski null Hamel basis for the reals from one...
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