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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-10, author = {Marcin Kysiak}, title = {Nonmeasurable algebraic sums of sets of reals}, journal = {Colloquium Mathematicae}, volume = {103}, year = {2005}, pages = {113-122}, zbl = {1072.28002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-10} }
Marcin Kysiak. Nonmeasurable algebraic sums of sets of reals. Colloquium Mathematicae, Tome 103 (2005) pp. 113-122. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-10/