On simple partitions of $[\kappa ]^{\kappa }$
Volume 177 / 2003
Fundamenta Mathematicae 177 (2003), 139-149
MSC: 03E02, 03E15, 03E55.
DOI: 10.4064/fm177-2-3
Abstract
For every uncountable regular cardinal $\kappa $, every $\kappa $-Borel partition of the space of all members of $[\kappa ]^{\kappa }$ whose enumerating function does not have fixed points has a homogeneous club.
