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/