Xing-Yu Hu

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math.LO2026

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

Xing-Yu Hu, Zhang-Yi Luo

For each countable ordinal $α \geq 2$ , Filipów, Kowalczuk and Kwela introduced an ideal $conv_{α}$ on the countable compact ordinal space $ω^{α} + 1$ . Kowalczuk later proved that…

math.LO2026

Carrier ideals, tail obstructions, and remainder traces for ladder-system spaces

Xing-Yu Hu

For a ladder-system space $X_{L}$ with carrier $S \subseteq E_{I ¨}^{I ¨ _{1}} $ , the finite-label uniformization property $M_{< I ¨ }$ characterizes countable metacompactness, and countable met…