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arXiv 1102.2605math.GNmath.CT
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分配空间的四换一二元原理

A four for the price of one duality principle for distributive spaces

Dirk Hofmann

摘要:

本文把拓扑空间看作广义序,并把满足(适当定义的)拓扑分配律的空间看作广义序。此外,我们证明了这些空间的范畴是对偶等价的框架的某一类别,通过简单地观察,双方表示幂等分裂完成相同的类别。

英文摘要:

In this paper we consider topological spaces as generalised orders and characterise those spaces which satisfy a (suitably defined) topological distributive law. Furthermore, we show that the category of these spaces is dually equivalent to a certain category of frames by simply observing that both sides represent the idempotents split completion of the same category.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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