紧化与完全正则空间的De Vries对偶
De Vries duality for compactifications and completely regular spaces
摘要：
德弗里斯对偶给出了紧T2空间范畴和完备布尔代数范畴之间的对偶等价，这类代数上有一个邻近关系，称为德弗里斯代数。通过将de Vries代数的范畴替换为de Vries代数的某些扩张，将de Vries对偶推广到完全正则空间.这是通过首先在紧化和de Vries扩张之间建立一个对偶，然后专门化对应于斯通-切赫紧化的扩张来实现的。
英文摘要：
De Vries duality yields a dual equivalence between the category of compact Hausdorff spaces and a category of complete Boolean algebras with a proximity relation on them, known as de Vries algebras. We extend de Vries duality to completely regular spaces by replacing the category of de Vries algebras with certain extensions of de Vries algebras. This is done by first formulating a duality between compactifications and de Vries extensions, and then specializing to the extensions that correspond to Stone-Čech compactifications.
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