3 papers
math.GN2026
On U_c-admitting spaces and U_c-completions of T_0 spaces
Kangming Lu, Qingguo Li, Shengwen Wang +1
In this paper, we introduce a new class of spaces, termed U_c-admitting spaces, and investigate their relationships with U_s-admitting spaces and well-filtered spaces. Adopting the…
math.GN2026
Forbidden substructures for coherence of domains
Rongqi Xiao, Xiaodong Jia
A coherent domain, in the sense of Dana Scott's domain theory, is a domain in which the intersection of every two compact saturated subsets is again compact, when the domain is equ…
math.GN2026
Coherence of Smyth powerspaces
Rongqi Xiao, Xiaodong Jia
In this paper, we study when the Smyth powerspace of a topological space is coherent, and prove that is coherent and weakly Hausdorff if and only if $\…