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

1 vote

The category of hypergraphs as a topos

According to this presentation: Will Grilliette and Lucas Rusnak, Natural Generalizations of Graphs Part II: Commas, Topoi, & Homomorphisms, Discrete Mathematics Seminar, Texas State University …
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3 votes
0 answers
848 views

Is the Kolmogorov-Arnold representation theorem an example of the Yoneda lemma?

From Wikipedia: https://en.wikipedia.org/wiki/Kolmogorov%E2%80%93Arnold_representation_theorem In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superpositio …
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  • 558
13 votes
4 answers
1k views

Two interpretations of implication in categorical logic?

I am a bit confused about the interpretation of "implication" in the standard treatment of categorical logic, for example in [Bart Jacobs 1999] "Categorical Logic and Type Theory". (A). On the one han …
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