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Esakia space information


In mathematics, Esakia spaces are special ordered topological spaces introduced and studied by Leo Esakia in 1974.[1] 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.

  1. ^ Esakia (1974)

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Esakia space

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In mathematics, Esakia spaces are special ordered topological spaces introduced and studied by Leo Esakia in 1974. Esakia spaces play a fundamental role...

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Esakia duality

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mathematics, Esakia duality is the dual equivalence between the category of Heyting algebras and the category of Esakia spaces. Esakia duality provides...

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Interior algebra

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McKinsey–Tarski topology. The Esakia duality can be recovered via a functor that replaces the field of sets with the Boolean space it generates. Via a functor...

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Heyting algebra

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Heyting algebras is dually equivalent to the category of Esakia spaces. This is called Esakia duality. "Pseudo-Boolean algebra - Encyclopedia of Mathematics"...

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List of dualities

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distributive lattices Dualizing complex Dualizing sheaf Eckmann–Hilton duality Esakia duality Fenchel's duality theorem Hodge dual Isbell duality Jónsson–Tarski...

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Duality theory for distributive lattices

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theorem Stone's representation theorem for Boolean algebras Stone duality Esakia duality Stone (1938) Stone (1938), Johnstone (1982) Stone (1938), Johnstone...

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Tetrahedron packing

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doi:10.1090/S0002-9904-1970-12400-4. hdl:10150/288016. Jaoshvili, Alexander; Esakia, Andria; Porrati, Massimo; Chaikin, Paul M. (2010). "Experiments on the...

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