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On perfectly meager sets
Tomek Bartoszynski
A set of reals A is called perfectly meager if A \cap P is meager in P, for every perfect set P. Marczewski asked if the product of perfectly meager sets is perfectly meager. In th…
math.LO2000
Continuous images of sets of reals
Tomek Bartoszynski, Saharon Shelah
We will show that, consistently, every uncountable set can be continuously mapped onto a non measure zero set, while there exists an uncountable set whose all continuous images int…