{"product_id":"9783030120986","title":"Heyting Algebras","description":"\u003cp\u003eThis book presents an English translation of a classic Russian text on duality theory\u003c\/p\u003e\u003cp\u003efor Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved\u003c\/p\u003e\u003cp\u003epopular among Russian-speaking logicians. This translation helps make the ideas\u003c\/p\u003e\u003cp\u003eaccessible to a wider audience and pays tribute to an influential mind in mathematical\u003c\/p\u003e\u003cp\u003elogic. \u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe book discusses the theory of Heyting algebras and closure algebras, as\u003c\/p\u003e\u003cp\u003ewell as the corresponding intuitionistic and modal logics. The author introduces the\u003c\/p\u003e\u003cp\u003ekey notion of a hybrid that “crossbreeds” topology (Stone spaces) and order (Kripke\u003c\/p\u003e\u003cp\u003eframes), resulting in the structures now known as Esakia spaces. The main theorems\u003c\/p\u003e\u003cp\u003einclude a duality between the categories of closure algebras and of hybrids, and a duality\u003c\/p\u003e\u003cp\u003ebetween the categories of Heyting algebras and of so-called strict hybrids.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eEsakia’s book was originally published in 1985. It was the first of a planned two-volume monograph\u003c\/p\u003e\u003cp\u003eon Heyting algebras. But after the collapse of the Soviet Union, the publishing house\u003c\/p\u003e\u003cp\u003eclosed and the project died with it. Fortunately, this important work now lives on in\u003c\/p\u003e\u003cp\u003ethis accessible translation. The Appendix of the book discusses the planned contents\u003c\/p\u003e\u003cp\u003eof the lost second volume.\u003c\/p\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2019\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer International Publishing\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Leo Esakia","offers":[{"title":"Default Title","offer_id":41255811186866,"sku":"9783030120986","price":88.91,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/3030120988.01_SCLZZZZZZZ.jpg?v=1635863824","url":"https:\/\/readabook.store\/products\/9783030120986","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}