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Heyting algebras = duality theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Heyting algebras/ by Leo Esakia ; edited by Guram Bezhanishvili, Wesley H. Holliday.
Reminder of title:	duality theory /
Author:	Esakia, Leo.
other author:	Bezhanishvili, Guram.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xv, 95 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Heyting algebras. -
Online resource:	https://doi.org/10.1007/978-3-030-12096-2
ISBN:	9783030120962

Heyting algebras = duality theory /
Esakia, Leo.

Heyting algebrasduality theory /[electronic resource] :by Leo Esakia ; edited by Guram Bezhanishvili, Wesley H. Holliday. - Cham :Springer International Publishing :2019. - xv, 95 p. :ill., digital ;24 cm. - Trends in logic, studia logica library,v.501572-6126 ;. - Trends in logic, studia logica library ;v.45..

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 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.

ISBN: 9783030120962

Standard No.: 10.1007/978-3-030-12096-2doiSubjects--Topical Terms:

1229553
Heyting algebras.

LC Class. No.: QA162

Dewey Class. No.: 511.324

Heyting algebras = duality theory /
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505 0 $a 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.
520 $a 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 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.
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