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Englisch
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Beschreibung
Researchers, teachers and graduate students in algebra and topology--familiar with the very basic notions of category theory--will welcome this categorical introduction to some of the key areas of modern mathematics, without being forced to study category theory. Rather, each of the eight largely independent chapters analyzes a particular subject, revealing the power and applicability of the categorical foundations in each case.
Researchers, teachers and graduate students in algebra and topology--familiar with the very basic notions of category theory--will welcome this categorical introduction to some of the key areas of modern mathematics, without being forced to study category theory. Rather, each of the eight largely independent chapters analyzes a particular subject, revealing the power and applicability of the categorical foundations in each case.
Inhaltsverzeichnis
Introduction Walter Tholen; 1. Ordered sets via adjunction R. J. Wood; 2. Locales Jorge Picado, Ales Pultr and Anna Tozzi; 3. A functional approach to general topology Maria Manuel Clementino, Eraldo Giuli and Walter Tholen; 4. Regular, protomodular and abelian categories Dominique Bourn and Marino Gran; 5. Aspects of monads John MacDonald and Manuela Sobral; 6. Algebraic categories Maria Cristina Pedicchio and Fabrizio Rovatti; 7. Sheaf theory Claudia Centazzo and Enrico M. Vitale; 8. Beyond barr exactness: effective descent morphisms George Janelidze, Manuela Sobral and Walter Tholen.
Details
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Topologie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| ISBN-13: | 9780521834148 |
| ISBN-10: | 0521834147 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC gerader Rücken kaschiert |
| Einband: | Gebunden |
| Redaktion: | Tholen, Walter |
| Hersteller: | Cambridge University Press |
| Maße: | 240 x 161 x 30 mm |
| Von/Mit: | Walter Tholen |
| Erscheinungsdatum: | 12.05.2014 |
| Gewicht: | 0,906 kg |
Inhaltsverzeichnis
Introduction Walter Tholen; 1. Ordered sets via adjunction R. J. Wood; 2. Locales Jorge Picado, Ales Pultr and Anna Tozzi; 3. A functional approach to general topology Maria Manuel Clementino, Eraldo Giuli and Walter Tholen; 4. Regular, protomodular and abelian categories Dominique Bourn and Marino Gran; 5. Aspects of monads John MacDonald and Manuela Sobral; 6. Algebraic categories Maria Cristina Pedicchio and Fabrizio Rovatti; 7. Sheaf theory Claudia Centazzo and Enrico M. Vitale; 8. Beyond barr exactness: effective descent morphisms George Janelidze, Manuela Sobral and Walter Tholen.
Details
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Topologie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| ISBN-13: | 9780521834148 |
| ISBN-10: | 0521834147 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC gerader Rücken kaschiert |
| Einband: | Gebunden |
| Redaktion: | Tholen, Walter |
| Hersteller: | Cambridge University Press |
| Maße: | 240 x 161 x 30 mm |
| Von/Mit: | Walter Tholen |
| Erscheinungsdatum: | 12.05.2014 |
| Gewicht: | 0,906 kg |
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