Acta Universitatis Lodziensis. Folia Mathematica, Tome 05 (1992)
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Jaskuła, Janusz; Lech, Jarosław. On the sets A + A and A - A. Acta Universitatis Lodziensis. Folia Mathematica, Tome 05 (1992). http://geodesic.mathdoc.fr/item/AULFM_1992_05_a12/
@article{AULFM_1992_05_a12,
author = {Jasku{\l}a, Janusz and Lech, Jaros{\l}aw},
title = {On the sets {A} + {A} and {A} - {A}},
journal = {Acta Universitatis Lodziensis. Folia Mathematica},
year = {1992},
volume = {05},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AULFM_1992_05_a12/}
}
TY - JOUR
AU - Jaskuła, Janusz
AU - Lech, Jarosław
TI - On the sets A + A and A - A
JO - Acta Universitatis Lodziensis. Folia Mathematica
PY - 1992
VL - 05
UR - http://geodesic.mathdoc.fr/item/AULFM_1992_05_a12/
LA - en
ID - AULFM_1992_05_a12
ER -
%0 Journal Article
%A Jaskuła, Janusz
%A Lech, Jarosław
%T On the sets A + A and A - A
%J Acta Universitatis Lodziensis. Folia Mathematica
%D 1992
%V 05
%U http://geodesic.mathdoc.fr/item/AULFM_1992_05_a12/
%G en
%F AULFM_1992_05_a12
In the paper, an example of a closed set F of real numbers satisfying the conditions F + F = [0, 2] and F - F ≠ [-1, 1] is presented. It is a negative answer to the problem posed by M. Laczkovich. Also, some necessary condition for sets of this type is formulated.