On covering of real line by null sets
type: Item
instance of: scholarly article
title: On covering of real line by null sets
zbMATH Open document ID: 0643.03034
author: Tomek Bartoszynski
published in: Pacific Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let \(\kappa_ m\) be the least cardinal \(\kappa\) such that the real line can be covered by \(\kappa\) many sets of Lebesgue measure zero. Assuming that \(2^{\omega}\) is regular and that there is a \(2^{\omega}\)-scale, the author (1) gives a combinatorial characterization of \(\kappa_ m\) and (2) shows that \(\kappa_ m\) has uncountable cofinality.
Mathematics Subject Classification ID: 03E15
Mathematics Subject Classification ID: 03E35
zbMATH DE Number: 4047707
zbMATH Keywords: null set
zbMATH Keywords: real line
zbMATH Keywords: Lebesgue measure zero
zbMATH Keywords: uncountable cofinality
MaRDI profile type: Publication
full work available at URL: pjm.1988.131.1
OpenAlex ID: W1988652680
DOI: 10.2140/PJM.1988.131.1
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description: scientific article; zbMATH DE number 4047707