Pure Maths Colloquium: Magnitude of metric spaces
14 February 2011 17:15 in CM221
Tom Leinster defined the notion of the `magnitude' of a finite metric space, which can be thought of as something like the `effective number of points' in the metric space. Leinster and I extended the notion to infinite metric spaces such as subsets of Euclidean spaces --- intervals, circles, Cantor sets, etc. I will try to give you some idea what this has to do with ecological biodiversity measures, geometric measure theory, Euler characteristics of categories and penguins.
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