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Categories of Relations (Allegories)

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  • UserMorgan Rogers
  • ClockThursday 15 March 2018, 13:00-14:00
  • HouseMR15.

If you have a question about this talk, please contact Loren E. Held.

In the Category Theory course it was observed in passing that the category ‘Set’ of sets and functions is naturally a subcategory of ‘Rel’, the category of sets and binary relations. We can produce a parallel statement for any category with sufficient internal structure, and the resulting abstract object is an Allegory. I shall motivate and define allegories and examine how some desirable properties of categories are reflected in their categories of relations.

This talk is part of the Part III Seminars series.

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