A note on duality between measure and category
classification
🧮 math.LO
keywords
categoryerdos-sierpinskimappingsetsadditionbijectioncalledduality
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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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