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/