Abstract
We investigate the algebraic sums of sets for a large class of invariant \(\sigma\)-ideals and \(\sigma\)-fields of subsets of the real line. We give a simple example of two Borel subsets of the real line such that its algebraic sum is not a Borel set. Next we show a similar result to Proposition 2 from A. Kharazishvili paper \cite{S2}. Our results are obtained for ideals with coanalytical bases.
Citation
Jacek Cichoń. Andrzej Jasiński. "A note on algebraic sums of subsets of the real line.." Real Anal. Exchange 28 (2) 493 - 500, 2002/2003.
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