An excursion in diagrammatic algebra : turning a sphere from red to blue / by J. Scott Carter.

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...

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Bibliographic Details
Main Author: Carter, J. Scott
Format: eBook
Language:English
Published: Singapore ; London : World Scientific, 2011.
Series:Series on knots and everything ; v. 48
Subjects:
Online Access:Click for online access

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100 1 |a Carter, J. Scott. 
245 1 3 |a An excursion in diagrammatic algebra :  |b turning a sphere from red to blue /  |c by J. Scott Carter. 
260 |a Singapore ;  |a London :  |b World Scientific,  |c 2011. 
300 |a 1 online resource (1 volume) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 0 |a Series on knots and everything ;  |v v. 48 
504 |a Includes bibliographical references and index. 
520 |a 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 diagrams represent algebraic relations. The reader may examine the changes in the illustrations in a leisurely fashion; or with scrutiny, the reader will become familiar and develop a facility for these diagrammatic computations. The text describes the essential topological ideas through metaphors t. 
505 0 |a 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 
650 0 |a Low-dimensional topology. 
650 7 |a Low-dimensional topology  |2 fast 
776 0 |c Hardback  |z 9789814374491 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=846125  |y Click for online access 
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