
Venue
Logic Seminar, University of
Manchester, 14 May 2009.
Abstract Notions of size are central to mathematics. From a tender age, we learn to count apples and measure with a ruler. Later we may learn more advanced notions of size: the dimension of a vector space, the Euler characteristic of a topological space, the entropy of a probability space, the biodiversity of an ecosystem, and so on. I will explain the common threads running through these and other notions of size. As an illustration of the helpfulness of this general point of view, I will explain how it led to a new and apparently profound notion of the size of a metric space. No special knowledge of anything will be assumed. Slides Slides covering about the first twothirds of the talk are in this pdf file (1.4MB). (The last third was on the blackboard.)
