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Heyting algebras : duality theory
- 作者： Esakia, Leo, author.
- 其他作者：
- 其他題名：
- Trends in logic, studia logica library ;
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Trends in logic, studia logica library,volume 50
- 主題： Heyting algebras. , Logic. , Mathematical Logic and Foundations. , Mathematical Logic and Formal Languages.
- ISBN： 9783030120962 (electronic bk.) 、 9783030120955 (hardback) 、 9783030120986 (paperback)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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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讀者標籤：
- 系統號： 005460732 | 機讀編目格式
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