Let . Then cmp Zₙ < def Zₙ for n ≥ 5. This is the answer to a question posed by de Groot and Nishiura [GN] for n ≥ 5.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm172-2-2,
author = {Vitalij A. Chatyrko and Yasunao Hattori},
title = {On a question of de Groot and Nishiura},
journal = {Fundamenta Mathematicae},
volume = {173},
year = {2002},
pages = {107-115},
zbl = {0995.54030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm172-2-2}
}
Vitalij A. Chatyrko; Yasunao Hattori. On a question of de Groot and Nishiura. Fundamenta Mathematicae, Tome 173 (2002) pp. 107-115. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm172-2-2/