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arXiv · 2505.17806

d-Boolean algebras and their bitopological representation

Hang Yang·Dexue Zhang
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Abstract

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 bitopological spaces and spatial d-frames established by Jung and Moshier. Precisely, we introduce the notion of d-Boolean algebras and prove that the category of such algebras is dually equivalent to the category of compact and zero-dimensional bitopological spaces satisfying the T0 separation axiom.

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Hang Yang, Dexue Zhang. 2026-01-24. d-Boolean algebras and their bitopological representation. https://doi.org/10.1016/j.topol.2026.109740

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