2 papers
math.CT2024
The characterization for the sobriety of -convex spaces
Guojun Wu, Wei Yao
With a commutative integral quantale as the truth value table, this study focuses on the characterizations of the sobriety of stratified -convex spaces, as introduced by Liu…
math.GN2024
Sober -convex spaces and -join-semilattices
Guojun Wu, Wei Yao
With a complete residuated lattice as the truth value table, we extend the definition of sobriety of classical convex spaces to the framework of -convex spaces. We provide a…