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Esakia space : ウィキペディア英語版
Esakia space
In mathematics, Esakia spaces are special ordered topological spaces introduced and studied by Leo Esakia in 1974.〔Esakia (1974)〕 Esakia spaces play a fundamental role in the study of Heyting algebras, primarily by virtue of the Esakia duality --- the dual equivalence between the category of Heyting algebras and the category of Esakia spaces.
==Definition==

For a partially ordered set and for , let } and let . Also, for , let } and .
An Esakia space is a Priestley space such that for each clopen subset of the topological space , the set is also clopen.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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