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A note on duality between measure and category

1999/04/14 by Tomek Bartoszynski, Bartoszynski, Tomek
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.math/9904067

arxiv created 1999/04/14 · arxiv updated 2009/11/30

Abstract

A bijection from R to R is called an Erdos-Sierpinski mapping if it maps meager sets onto the first category sets and vice versa. We show that there is no Erdos-Sierpinski mapping preserving addition.

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