Xing-Yu Hu

collaborators

4 papers

math.GN2026

Dense-Kernel and Closed-Core Reductions in the D-space Problem for Charming Spaces

Xing-Yu Hu, Ze-Qi Yin

Let X be a charming space with a Lindelof Sigma kernel Y, and let B be the closure of Y in X. We show that the question whether every charming space is a D-space can be reduced fir…

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 $S \subseteq E_{ω}^{ω_{1}}$ , the finite-label uniformization property $M_{< ω}$ characterizes countable metacompactness, and countable metaco…

math.GN2026

Raikov Remainders of Quotients by Raikov-Complete Almost Metrizable Normal Subgroups

Xing-Yu Hu

Let $N$ be a closed normal subgroup of a topological group $G$, and let $\widehat q:ρG\toρ(G/N)$ extend the quotient homomorphism. We prove that \(r_ρ(G/N)=\widehat q\bigl(r_…