3 papers
math.LO2026
Dense-set dependence in the Katětov order for uncountable coordinate ideals
Xing-Yu Hu, Zhang-Yi Luo
For each countable ordinal , Filipów, Kowalczuk and Kwela introduced an ideal on the countable compact ordinal space . 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 with carrier , the finite-label uniformization property characterizes countable metacompactness, and countable met…
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 \(\widehat q:ÏG\toÏ(G/N)\) extend the quotient homomorphism. We prove that \(r_Ï(G/N)=\widehat q\bigl…