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＜電子ブック＞
Heyting Algebras : Duality Theory / by Leo Esakia ; edited by Guram Bezhanishvili, Wesley H. Holliday
(Trends in Logic, Studia Logica Library. ISSN:22127313 ; 50)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XV, 95 p. 420 illus : online resource
著者標目	*Esakia, Leo author Bezhanishvili, Guram editor Holliday, Wesley H editor SpringerLink (Online service)
件　名	LCSH:Logic LCSH:Mathematical logic LCSH:Machine theory FREE:Logic FREE:Mathematical Logic and Foundations FREE:Formal Languages and Automata Theory
一般注記	Foreword -- Editor's Note -- Introduction -- Chapter 1. Preliminary Notions and Necessary Facts -- Chapter 2. Heyting Algebras and Closure Algebras -- Chapter 3. Duality Theory: Hybrids -- Appendix -- Bibliography This book presents an English translation of a classic Russian text on duality theory for Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved popular among Russian-speaking logicians. This translation helps make the ideas accessible to a wider audience and pays tribute to an influential mind in mathematical logic. The book discusses the theory of Heyting algebras and closure algebras, as well as the corresponding intuitionistic and modal logics. The author introduces the key notion of a hybrid that “crossbreeds” topology (Stone spaces) and order (Kripke frames), resulting in the structures now known as Esakia spaces. The main theorems include a duality between the categories of closure algebras and of hybrids, and a duality between the categories of Heyting algebras and of so-called strict hybrids. Esakia’s book was originally published in 1985. It was the firstof a planned two-volume monograph on Heyting algebras. But after the collapse of the Soviet Union, the publishing house closed and the project died with it. Fortunately, this important work now lives on in this accessible translation. The Appendix of the book discusses the planned contents of the lost second volume HTTP:URL=https://doi.org/10.1007/978-3-030-12096-2

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