Wei Yao

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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…

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

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

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