Heyting algebras : duality theory /

Heyting algebras : duality theory /

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Bibliographic Details
Author / Creator:	Ėsakia, L. L. (Leo Leonidovich)
Imprint:	Cham : Springer, 2019.
Description:	1 online resource (XV, 95 pages) : illustrations
Language:	English
Series:	Trends in Logic, Studia Logica Library ; 50
Subject:	Heyting algebras. Heyting algebras.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11930815

Hidden Bibliographic Details
Other authors / contributors:	Bezhanishvili, Guram. Holliday, Wesley H.
ISBN:	9783030120962 3030120961 9783030120955
Summary:	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. Esakias book was originally published in 1985. It was the first of 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
Standard no.:	10.1007/978-3-030-12

Table of Contents:

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.