Dense-set dependence in the Katětov order for uncountable coordinate ideals

Xing-Yu Hu, Zhang-Yi Luo

For each countable ordinal $\alpha \ge 2$, Filipów, Kowalczuk and Kwela introduced an ideal ${\mathsf{conv}}_{\alpha }$ on the countable compact ordinal space ${\omega }^{\alpha }+1$. Kowalczuk later proved that…