Jason (jcreed) wrote,

The "grand finale fireworks ending" of this Baez-o-gram is lovely: an abelian group object in the category SetsΔop of simplicial sets is just as good as a simplicial object in the category Ab of abelian groups. On the other hand, item H of the next one is stupefyingly beautiful: the result is another category equivalence, and it seems to be saying that both of the above things are just as good as a chain complex. I still haven't figured out why.
Tags: categories, john baez, math

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