Excursion In Diagrammatic Algebra, An: Turning A Sphere From Red To Blue
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A01=J Scott Carter
Author_J Scott Carter
Beak-to-Beak
Bend
Bernard Morin
Category=PBPD
Cusp
Double Point
Double-Decker Set
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fold
Fold Lines
Gauss Morse Codes
General Position
Horizontal Cusp
Lips
Mobius Band
Movie Moves
Movies
Quadruple Point
Regular Homotopy
Saddle Point
Smale
Space-Time
Sphere Eversion
Surfaces
Symmetric Monoidal 2-Category
Topology
Triple Point
Product details
- ISBN 9789814374491
- Publication Date: 09 Dec 2011
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 that are experienced in everyday life: shadows, the human form, the intersections between walls, and the creases in a shirt or a pair of trousers. Mathematically informed reader will benefit from the informal introduction of ideas. This volume will also appeal to scientifically literate individuals who appreciate mathematical beauty.
