Braids and Self-Distributivity
Par :Formats :
- Nombre de pages623
- PrésentationRelié
- FormatGrand Format
- Poids1.115 kg
- Dimensions16,0 cm × 24,0 cm × 4,0 cm
- ISBN3-7643-6343-6
- EAN9783764363437
- Date de parution01/01/2000
- CollectionProgress in mathematics
- ÉditeurBirkhäuser
Résumé
The quest for elementary proofs of these statements led to a general theory of selfdistributivity centered on a certain group that captures the geometrical properties of this identity. This group happens to be closely connected with Artin's braid groups, and new properties of the braids naturally arose as an application, in particular the existence of a left invariant linear order, which subsequently received alternative topological constructions.
The test proposes a first synthesis of this area of research. Three domains are considered here, namely braids, self-distributive systems, and set theory. Although not a comprehensive tonne on these subjects, the exposition is self-contained, and a number of basic results are established. In particular, the first chapters include a rather complete algebraic study of Artin's braid groups.
The quest for elementary proofs of these statements led to a general theory of selfdistributivity centered on a certain group that captures the geometrical properties of this identity. This group happens to be closely connected with Artin's braid groups, and new properties of the braids naturally arose as an application, in particular the existence of a left invariant linear order, which subsequently received alternative topological constructions.
The test proposes a first synthesis of this area of research. Three domains are considered here, namely braids, self-distributive systems, and set theory. Although not a comprehensive tonne on these subjects, the exposition is self-contained, and a number of basic results are established. In particular, the first chapters include a rather complete algebraic study of Artin's braid groups.