From the 1 of 2 linked papers with an AI index.
2 papers
math.GN2026
Scott Function Spaces under One-Sided FS Assumptions: Counterexamples, Positive Results, and New Directions
Chong Shen, Weng Kin Ho, Xiaoyong Xi +1
The paper studies when Scott function spaces retain continuity or the FS‑domain property under one‑sided FS assumptions, proving two continuity theorems and giving a counterexample…
math.GN2026
Convergence Choquet-complete spaces and domain representations
Xiaoyong Xi, Chong Shen, Weng Kin Ho +1
de Brecht, Goubault-Larrecq, Jia and Lyu asked whether every sober convergence Choquet-complete space is domain-complete. We introduce the notion of singleton Choquet-completeness,…