Database tools for category theory

Bob Rosebrugh

Date: July 18th (Thursday)
Time: 16:05-16:25
Abstract
We have developed an interactive system in C to store and manipulate finitely-presented categories and functors among them. The tools allow, among other things, determination of equality of composed arrows, sums, products and so on. Also implemented are calculations of right and left kan extensions of finite-set valued functors. These include computation of finitely presented limits and colimits of finite sets. The talk will indicate some of the algorithms used and demonstrate program output. (This is joint work with M. Fleming and R. Gunther.)

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