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For questions requesting examples of a certain structure or phenomenon

8 votes

What is Yoneda's Lemma a generalization of?

I like to view Yoneda's lemma as a generalization of the description of Galois coverings in topology. To any functor $F: C \to Set$ we can associate its category of elements $El(F)$. Its objects are p …
5 votes

Examples of toposes for analysts

Besides the important examples of topoi already mentioned (like SDG), I would argue that the most important topos for any analyst is just the topos of sheaves on some topological space. …