Continuous images of sets of reals

Tomek Bartoszynski; Saharon Shelah

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Continuous images of sets of reals

Tomek Bartoszynski·Saharon Shelah

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Abstract

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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BibTeX RIS

Tomek Bartoszynski, Saharon Shelah. 2000-04-19. Continuous images of sets of reals. https://arxiv.org/abs/math/0001051

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