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arxiv: math/0001051 · v2 · submitted 2000-01-10 · 🧮 math.LO

Continuous images of sets of reals

classification 🧮 math.LO
keywords continuousimagesuncountableconsistentlycontinuouslyeveryexistsmapped
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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 into a Polish space are meager.

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