论文标题

将广义的Priestley二元性连接到Hofmann-Mislove-Stralka二元性

Connecting generalized Priestley duality to Hofmann-Mislove-Stralka duality

论文作者

Bezhanishvili, Guram, Carai, Luca, Morandi, Patrick

论文摘要

我们将Priestley二元性连接用于分布晶格,并将其概括为分配会议 - 隔离,以与Hofmann-Mislove-stralka双重性进行半层次。除其他外,这涉及考虑代数框架之间的各种形态。我们还展示了布尔代数和广义布尔代数的石材双重性如何符合我们开发的一般图片的特定情况。

We connect Priestley duality for distributive lattices and its generalization to distributive meet-semilattices to Hofmann-Mislove-Stralka duality for semilattices. Among other things, this involves consideration of various morphisms between algebraic frames. We also show how Stone duality for boolean algebras and generalized boolean algebras fits as a particular case of the general picture we develop.

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