3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GN2026
Sobriety of Scott topologies under countability conditions
Zhengmao He, Zhaochen Dong, Kaiyun Wang
In this paper, we focus on the sobriety of the Scott topology in countable case. Specifically, we show that: (1) every meet-continuous core-compact countable dcpo is sober with res…
math.CO2020
Big Ramsey degrees in universal inverse limit structures
Natasha Dobrinen, Kaiyun Wang
We build a collection of topological Ramsey spaces of trees giving rise to universal inverse limit structures,extending Zheng's work for the profinite graph to the setting of Fra\"…
math.GN2020★ 3 cited
Nonexistence of k-bounded sobrification
Jing Lu, Kaiyun Wang, Guohua Wu +1
In this paper, we will focus on k-bounded sober spaces and show the existence of a T_0 space X not admitting any k-bounded sobrification. This strengthens a result of Zhao, Lu and…