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Regular languages and stone duality
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Pippenger, Nicholas
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Stone duality for stable functions
2005The problem of finding an algebraic structure for stable open subsets of a suitable domain has been recently raised by several authors. Specifically, it could be useful to have, in the stable case, a notion similar to the one of “frame”, in order to develop something similar to pointless topology, that is an algebraic insight of spaces.
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Stone duality and representation of stable domain
In this paper, the author studies the Stone duality and representation of L-domain w.r.t. stable functions. Two basic notions are introduced, one is D-semilattice and the other is semitopological system.
Yixiang Chen
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Extensions of the stone duality to the category of Boolean spaces and continuous maps
Using our results from [4], we present a new proof of the extension of the Stone duality theorem to the category BooleSp of zero-dimensional locally compact Hausdorff spaces (= Boolean spaces) and continuous maps that was provided by Dimov [3], and
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Stone duality for Dedekind σ-complete ℓ-groups with order-unit
Building on the Goodearl–Handelman–Lawrence functional representation theorem, we provide a purely topological representation (specifically, a categorical duality) for a large class of Dedekind σ-complete ℓ-groups G with order-unit u, including all G ...
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