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An excursion in diagrammatic algebra : turning a sphere from red to blue /
The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology. This example is a gateway to a new idea of higher dimensional algebra in which diagrams replace algebraic expressions and relationships between...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Singapore ; London :
World Scientific,
2011.
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| Collection: | Series on knots and everything ;
v. 48 |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Preface; Contents; 1. A Sphere; 2. Surfaces, Folds, and Cusps; 3. The Inside and Outside; 4. Dimensions; 5. Immersed Surfaces; 6. Movies; Double Points and Triple Points; Critical Exchanges; Example; Summary; 7. Movie Moves; The Evolution in the Intrinsic Sphere; The Fold Set; Double Points and Triple Points; Double Points and Folds; Triple Points, Double Points, and Folds; Conclusion; 8. Taxonomic Summary; 9. How Not to Turn the Sphere Inside-out; 10. A Physical Metaphor; Gauss-Morse Codes; Summary; 11. Sarah's Thesis; 12. The Eversion; 13. The Double Point and Fold Surfaces; Conclusion