Venue   New Directions in the Model Theory of Fields, Durham, 28 July 2009.

Abstract   For many types of mathematical object there is a canonical notion of 'size'. Sets have cardinality, topological spaces have Euler characteristic, vector spaces have dimension, probability spaces have entropy, and so on. I will draw together some common threads, and explain the central role played by the notion of the cardinality (or Euler characteristic) of a category.

Slides   In this pdf file (160K).

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