We prove that , where trt stands for the transfinite extension of Steinke’s separation dimension. This answers a question of Chatyrko and Hattori.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-1-7, author = {Yasunao Hattori and Jan van Mill}, title = {On the Separation Dimension of $K\_$\omega$$ }, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {61}, year = {2013}, pages = {67-70}, zbl = {1277.54027}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-1-7} }
Yasunao Hattori; Jan van Mill. On the Separation Dimension of $K_ω$ . Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 67-70. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-1-7/