By J Scott Carter
the purpose of this booklet is to offer as exact an outline as is feasible of 1 of the main appealing and intricate examples in low-dimensional topology. this instance is a gateway to a brand new concept of upper dimensional algebra within which diagrams exchange algebraic expressions and relationships among diagrams symbolize algebraic kinfolk. The reader could study the adjustments within the illustrations in a leisurely type; or with scrutiny, the reader becomes frequent and improve a facility for those diagrammatic computations.
The textual content describes the basic topological principles 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 expert reader will enjoy the casual creation 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 field Inside-Out
- A actual Metaphor
- Sarah's Thesis
- The Eversion
- The Double aspect and Fold Surfaces
Readership: Researchers in mathematics.
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