Continuous images of sets of reals

Tomek Bartoszynski; Saharon Shelah

doi:10.1016/s0166-8641(00)00079-1

Continuous images of sets of reals

Tomek Bartoszynski^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

19 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 language	English
Pages (from-to)	243-253
Number of pages	11
Journal	Topology and its Applications
Volume	116
Issue number	2
DOIs	https://doi.org/10.1016/s0166-8641(00)00079-1
State	Published - 2001

Keywords

Consistency
Measure
Small sets

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10.1016/s0166-8641(00)00079-1

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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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KW - Consistency

KW - Measure

KW - Small sets

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JO - Topology and its Applications

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Continuous images of sets of reals

Abstract

Keywords

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