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Adding one random real

Tomek Bartoszyński, Andrzej Rosłanowski, Saharon Shelah

math.LOarXiv:math/9406229

Abstract

We study the cardinal invariants of measure and category after adding one random real. In particular, we show that the number of measure zero subsets of the plane which are necessary to cover graphs of all continuous functions maybe large while the covering for measure is small.

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