By J Scott Carter
the purpose of this ebook is to provide as exact an outline as is feasible of 1 of the main attractive and complex examples in low-dimensional topology. this instance is a gateway to a brand new thought of upper dimensional algebra during which diagrams exchange algebraic expressions and relationships among diagrams symbolize algebraic kin. The reader may well learn the adjustments within the illustrations in a leisurely model; or with scrutiny, the reader turns into customary and enhance a facility for those diagrammatic computations.
The textual content describes the fundamental topological rules via metaphors which are skilled in way of life: shadows, the human shape, the intersections among partitions, and the creases in a blouse or a couple of trousers. Mathematically trained reader will enjoy the casual advent of rules. This quantity also will entice scientifically literate people who savor mathematical beauty.
- A Sphere
- Surfaces, Folds, and Cusps
- The within and Outside
- Immersed Surfaces
- Movie Moves
- Taxonomic Summary
- How to not flip the sector Inside-Out
- A actual Metaphor
- Sarah's Thesis
- The Eversion
- The Double aspect and Fold Surfaces
Readership: Researchers in mathematics.
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Extra info for An Excursion in Diagrammatic Algebra:Turning a Sphere from Red to Blue: 48 (Series on Knots and Everything)
An Excursion in Diagrammatic Algebra:Turning a Sphere from Red to Blue: 48 (Series on Knots and Everything) by J Scott Carter