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math.GN2026
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…
math.GN2025
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…