We construct various Besicovitch sets using Baire category arguments.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-1-6,
author = {T. W. K\"orner},
title = {Besicovitch via Baire},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {65-78},
zbl = {1048.28002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-1-6}
}
T. W. Körner. Besicovitch via Baire. Studia Mathematica, Tome 157 (2003) pp. 65-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-1-6/