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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
6
votes
1
answer
294
views
Does there exist a full and faithful embedding of $\mathsf{Poset}$ in $\mathsf{Set}$?
Does there exist a full and faithful embedding of the category of posets into the category of sets? I suspect no, but I don't know how to prove or disprove this.
7
votes
3
answers
3k
views
Are the categories of sets, abelian groups, and commutative rings unique?
Are the categories of sets, abelian groups, and commutative rings unique? Independence results like the independence of the generalized continuum hypothesis, the Whitehead problem, and the global dim …