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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

7 votes
Accepted

Is there a relationship between model theory and category theory?

Between model theory and category theory broadly conceived: not anything really compelling, because a category, on its own, does not stand as an interpretation for anything. Between model theory and …
Community's user avatar
  • 1
11 votes

Programming Languages Based on Category Theory

All of the answers so far are based on Cartesian closed categories. There are a few languages based on Cartesian categories, which reject use of higher-order functions in the base language: The key …
j.c.'s user avatar
  • 13.6k
3 votes
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Can infinite first-order categories be specified other than as categories of models?

Sure, by direct construction. Rings, preorders, the category of paths of a given graph, etc. But that's not what you wanted to know, is it?
Charles Stewart's user avatar