{"product_id":"9783030120955","title":"Trends in Logic: Duality Theory","description":"\u003ch1\u003eTrends in Logic: Duality Theory\u003c\/h1\u003e \u003ch2\u003eEsakia, Leo; Bezhanishvili, Guram; Holliday, Wesley H.; Evseev, Anton\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\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 firstof 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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2019-07-17\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030120955\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-12096-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 95\u003c\/p\u003e ","brand":"Metsniereba","offers":[{"title":"Default Title","offer_id":46541617725580,"sku":"9783030120955","price":80.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030120955.jpg?v=1775742724","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030120955","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}