Wei Yao

collaborators

4 papers

math.CT2024

The characterization for the sobriety of $L$ -convex spaces

Guojun Wu, Wei Yao

With a commutative integral quantale $L$ as the truth value table, this study focuses on the characterizations of the sobriety of stratified $L$ -convex spaces, as introduced by Liu…

math.GN2024

Sober $L$ -convex spaces and $L$ -join-semilattices

Guojun Wu, Wei Yao

With a complete residuated lattice $L$ as the truth value table, we extend the definition of sobriety of classical convex spaces to the framework of $L$ -convex spaces. We provide a…

math.GN2024

Topological representations for frame-valued domains via $L$ -sobriety

Guojun Wu, Wei Yao, Qingguo Li

With a frame $L$ as the truth value table, we study the topological representations for frame-valued domains. We introduce the notions of locally super-compact $L$ -topological spac…

math.GN2024

Representations of domains via closure spaces in the quantale-valued setting

Guojun Wu, Wei Yao, Qingguo Li

With a commutative unital quantale $L$ as the truth value table, this study focuses on the representations of $L$ -domains by means of $L$ -closure spaces. First, the notions of inte…

The characterization for the sobriety of L-convex spaces

Sober L-convex spaces and L-join-semilattices

Topological representations for frame-valued domains via L-sobriety

Representations of domains via closure spaces in the quantale-valued setting

The characterization for the sobriety of $L$ -convex spaces

Sober $L$ -convex spaces and $L$ -join-semilattices

Topological representations for frame-valued domains via $L$ -sobriety