Very frequent question is "How category theory can help other mathematical areas?". I want to reverse it and ask: are there results in CT which can be obtained more easily by using methods from other mathematical subjects? Are such things as, say, combinatorial CT possible?
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1$\begingroup$ ?ncatlab.org/nlab/show/… $\endgroup$– user451844Aug 10, 2017 at 20:20
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2$\begingroup$ For example the diagram chasing lemmas for Abelian categories can be obtained more easily for modules with flesh-and-blood elements, and then one can involve Mitchell's embedding theorem.. $\endgroup$– BerciAug 10, 2017 at 20:58
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$\begingroup$ Combinatorial category theory : maths.ed.ac.uk/~tl/whitepoint/euler.pdf (by Tom Leinster, this is about the Euler characteristic of a category) $\endgroup$– Maxime RamziMay 4, 2018 at 10:09
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1$\begingroup$ What do you mean by combinatorial category theory? $\endgroup$– Giorgio MossaMay 4, 2018 at 15:12