Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Vitali sets and Hamel bases that are Marczewski measurable

100%

Miller A. W., Popvassilev S. G.

Fundamenta Mathematicae

2000

tom 166

nr 3

269-279

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 for the plane by showing that there is no one-to-one additive Borel map from the plane to the reals.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Miller A. W.

1 Popvassilev S. G.

1 2000

Wyniki wyszukiwania

Vitali sets and Hamel bases that are Marczewski measurable