Continuous images of sets of reals

Tomek Bartoszynski*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

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 languageEnglish
Pages (from-to)243-253
Number of pages11
JournalTopology and its Applications
Volume116
Issue number2
DOIs
StatePublished - 2001

Keywords

  • Consistency
  • Measure
  • Small sets

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