Avsnittsöversikt
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We introduce (filtered) limit and colimits and overview the axioms ABxyz by Grothendieck. If you can read math French (that is if you speak fluently a romanic language) you can go directly at the source. Otherwise
is always a good source.
For limits and colimits I used MacLane's book, but I am told Riehl's Category theory in context is a better choice.
I also introduced the categories Kom(A) of complexes over an abelian category and the homotopy category. We have seen how a map of complexes induces a map in cohomology and how you can use diagram chasing in any abelian category.