5 papers
d-Spectral Bitopological Spaces
Hang Yang, Dexue Zhang
We introduce and study the category of \emph{d-spectral spaces}, a bitopological analogue of the classical spectral spaces of Stone and Hochster. A d-spectral space is a compact, d…
d-Boolean algebras and their bitopological representation
Hang Yang, Dexue Zhang
We present a Stone duality for bitopological spaces in analogy to the duality between Stone spaces and Boolean algebras, in the same vein as the duality between d-sober bitopologic…
A Boolean-valued space approach to separation axioms and sobriety of bitopological spaces
Jing He, Dexue Zhang
This paper presents a study of separation axioms and sobriety of bitopological spaces from the point of view of fuzzy topology via identifying bitopological spaces with topological…
Introductory notes on real-enriched categories
Dexue Zhang
Real-enriched categories are categories with real numbers as enrichment. Precisely, a real-enriched category is a category enriched over the commutative and unital quantale compose…
Smyth complete real-enriched categories
Junche Yu, Dexue Zhang
This paper investigates Smyth completeness of categories enriched over a quantale obtained by equipping the unit interval of real numbers with a continuous t-norm. A real-enriched…