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.
Original language | English |
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Pages (from-to) | 243-253 |
Number of pages | 11 |
Journal | Topology and its Applications |
Volume | 116 |
Issue number | 2 |
DOIs | |
State | Published - 2001 |
Keywords
- Consistency
- Measure
- Small sets