Nonmeasurable algebraic sums of sets of reals

Marcin Kysiak

Colloquium Mathematicae (2005)

  • Volume: 102, Issue: 1, page 113-122
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Marcin Kysiak. "Nonmeasurable algebraic sums of sets of reals." Colloquium Mathematicae 102.1 (2005): 113-122. <http://eudml.org/doc/283981>.

@article{MarcinKysiak2005,
abstract = {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.},
author = {Marcin Kysiak},
journal = {Colloquium Mathematicae},
keywords = {algebraic sum; Lebesgue measure; Baire property; nonmeasurable set},
language = {eng},
number = {1},
pages = {113-122},
title = {Nonmeasurable algebraic sums of sets of reals},
url = {http://eudml.org/doc/283981},
volume = {102},
year = {2005},
}

TY - JOUR
AU - Marcin Kysiak
TI - Nonmeasurable algebraic sums of sets of reals
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 1
SP - 113
EP - 122
AB - 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.
LA - eng
KW - algebraic sum; Lebesgue measure; Baire property; nonmeasurable set
UR - http://eudml.org/doc/283981
ER -

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