{"product_id":"heyting-algebras-duality-theory-von-leo-esakia","title":"Heyting Algebras","description":"\n                \u003cp\u003eThis book presents an English translation of a classic Russian text on duality theory\u003c\/p\u003e\n                \u003cp\u003efor Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved\u003c\/p\u003e\n                \u003cp\u003epopular among Russian-speaking logicians. This translation helps make the ideas\u003c\/p\u003e\n                \u003cp\u003eaccessible to a wider audience and pays tribute to an influential mind in mathematical\u003c\/p\u003e\n                \u003cp\u003elogic. \u003c\/p\u003e\n                \u003cp\u003e\n                    \u003cbr\u003e\n                \u003c\/p\u003e\n                \u003cp\u003eThe book discusses the theory of Heyting algebras and closure algebras, as\u003c\/p\u003e\n                \u003cp\u003ewell as the corresponding intuitionistic and modal logics. The author introduces the\u003c\/p\u003e\n                \u003cp\u003ekey notion of a hybrid that “crossbreeds” topology (Stone spaces) and order (Kripke\u003c\/p\u003e\n                \u003cp\u003eframes), resulting in the structures now known as Esakia spaces. The main theorems\u003c\/p\u003e\n                \u003cp\u003einclude a duality between the categories of closure algebras and of hybrids, and a duality\u003c\/p\u003e\n                \u003cp\u003ebetween the categories of Heyting algebras and of so-called strict hybrids.\u003c\/p\u003e\n                \u003cp\u003e\n                    \u003cbr\u003e\n                \u003c\/p\u003e\n                \u003cp\u003eEsakia’s book was originally published in 1985. It was the firstof a planned two-volume monograph\u003c\/p\u003e\n                \u003cp\u003eon Heyting algebras. But after the collapse of the Soviet Union, the publishing house\u003c\/p\u003e\n                \u003cp\u003eclosed and the project died with it. Fortunately, this important work now lives on in\u003c\/p\u003e\n                \u003cp\u003ethis accessible translation. The Appendix of the book discusses the planned contents\u003c\/p\u003e\n                \u003cp\u003eof the lost second volume.\u003c\/p\u003e\n                \u003cbr\u003e\n                \u003cp\u003e\u003c\/p\u003e\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030120955\"\u003e\u003ch3\u003eDuality Theory\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030120986\"\u003e\u003ch3\u003eDuality Theory\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9783030120955","offer_id":40705859059805,"sku":"9783030120955","price":85.59,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783030120986","offer_id":39423666061405,"sku":"9783030120986","price":85.59,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/c9a4cc73-4dd7-451d-aba1-fce9fdab1e4b.jpg?v=1772170869","url":"https:\/\/shop.autorenwelt.de\/products\/heyting-algebras-duality-theory-von-leo-esakia","provider":"Autorenwelt Shop","version":"1.0","type":"link"}