Nonmeasurable algebraic sums of sets of reals

Volume 102 / 2005

Marcin Kysiak Colloquium Mathematicum 102 (2005), 113-122 MSC: 28A05, 03E15, 54H05. DOI: 10.4064/cm102-1-10


We present a theorem which generalizes some known theorems on the existence of nonmeasurable (in various senses) sets of the form $X+Y$. Some additional related questions concerning measure, category and the algebra of Borel sets are also studied.


  • Marcin KysiakInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    P.O. Box 21
    00-956 Warszawa 10, Poland

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