For every uncountable regular cardinal κ, every κ-Borel partition of the space of all members of whose enumerating function does not have fixed points has a homogeneous club.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-2-3,
author = {David Asper\'o},
title = {On simple partitions of $[$\kappa$]^{$\kappa$}$
},
journal = {Fundamenta Mathematicae},
volume = {177},
year = {2003},
pages = {139-149},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-2-3}
}
David Asperó. On simple partitions of $[κ]^{κ}$
. Fundamenta Mathematicae, Tome 177 (2003) pp. 139-149. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-2-3/