FEATURING:
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NONABELIAN ALGEBRAIC TOPOLOGY
This book gives an account of algebraic topology at the border of homotopy and homology, capturing some nonabelian aspects in dimensions 1 and 2. A main intuition is to use subdivisions and, conversely, compositions, of cubes.
- HOW MATHEMATICS
GETS INTO KNOTSThe mathematics of knots has been a key part of Ronnie Brown's involvement in the popularisation of mathematics. He led the team which designed the "Mathematics and Knots" exhibition for the 1989 Royal Society PopMaths Roadshow.READ MORE- GROUPOIDS
Group Theory has been a major part of mathematics for centuries. Groupoids not only give a "spatial component" to group theory, modelling more general activities than "return journeys"; they also allow non trvial higher dimensional versions of groups, modelling complicated aspects of homotopy theory.READ MORE
- Nonabelian Algebraic Topology - an example illustration.
The diagram is part of a "two dimensional rewriting" proof that two maps are homotopic. Diagrams of this kind are fundamental to the proofs of the main theorems.READ MORE- OUT OF LINE
"Out of Line" is the title of a talk given in 1992 as a Royal Institution Friday Evening Discourse, and to the British Science Association as the Presidential Address to the Mathematics section, in Southampton. It is addressed to a general audience. These web pages are an illustrated record of the talk.READ MORE- JOHN ROBINSON, SCULPTOR
Knot exhibition and sculpture siteB. May 5th 1935, d. April 6th 2007. John Robinson left his life as a sheep farmer in Australia to pursue a new career as a sculptor. He came to specialise in symbolic sculpture with mathematical and geometric character. After coming across some of his work at an exhibition in a London art gallery, Ronnie met John and began a friendship and collaborative association.READ MORE - HOW MATHEMATICS