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The magnitude of an enriched category

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There is a close but underexploited analogy between the Euler characteristic of a topological space and the cardinality of a set. Taking this as inspiration, I will give a definition of the “magnitude” of an enriched category. From this single definition can be derived many cardinality-like invariants (some old, some new): the Euler characteristic of a manifold or orbifold, the Euler characteristic of a category, the magnitude of a metric space, the Euler characteristic of a Koszul algebra, and more. I will give an overview. For an informal preview and discussion, see

http://golem.ph.utexas.edu/category/2011/06/the_magnitude_of_an_enriched_c.html

This talk is part of the Category Theory Seminar series.

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