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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.
Esakiäs 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.
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.
Esakiäs 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.
Presents an English translation of an influential 1985 Russian monograph by Leo Esakia
Details important insights into duality theory for Heyting algebras
Includes information about the planned contents of the lost second volume
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Philosophie |
| Jahrhundert: | Antike |
| Rubrik: | Geisteswissenschaften |
| Thema: | Lexika |
| Medium: | Buch |
| Seiten: | 112 |
| Reihe: | Trends in Logic |
| Inhalt: |
xv
95 S. 420 s/w Illustr. 95 p. 420 illus. |
| ISBN-13: | 9783030120955 |
| ISBN-10: | 3030120953 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-030-12095-5 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Esakia, Leo |
| Redaktion: |
Bezhanishvili, Guram
Holliday, Wesley H. |
| Herausgeber: | Guram Bezhanishvili/Wesley H Holliday |
| Übersetzung: | Evseev, Anton |
| Auflage: | 1st ed. 2019 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Trends in Logic |
| Maße: | 241 x 160 x 12 mm |
| Von/Mit: | Leo Esakia |
| Erscheinungsdatum: | 17.07.2019 |
| Gewicht: | 0,342 kg |
Presents an English translation of an influential 1985 Russian monograph by Leo Esakia
Details important insights into duality theory for Heyting algebras
Includes information about the planned contents of the lost second volume
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Philosophie |
| Jahrhundert: | Antike |
| Rubrik: | Geisteswissenschaften |
| Thema: | Lexika |
| Medium: | Buch |
| Seiten: | 112 |
| Reihe: | Trends in Logic |
| Inhalt: |
xv
95 S. 420 s/w Illustr. 95 p. 420 illus. |
| ISBN-13: | 9783030120955 |
| ISBN-10: | 3030120953 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-030-12095-5 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Esakia, Leo |
| Redaktion: |
Bezhanishvili, Guram
Holliday, Wesley H. |
| Herausgeber: | Guram Bezhanishvili/Wesley H Holliday |
| Übersetzung: | Evseev, Anton |
| Auflage: | 1st ed. 2019 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Trends in Logic |
| Maße: | 241 x 160 x 12 mm |
| Von/Mit: | Leo Esakia |
| Erscheinungsdatum: | 17.07.2019 |
| Gewicht: | 0,342 kg |
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