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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 …
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 …
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 …