PMATH 945 - Topics in Algebra: Category Theory and Homological Algebra
Jason Bell
Winter 2016
Categories, Functors, Natural Transformations, Adjoints
Representable Functors, Yoneda's Lemma
Initial and Terminal Objects, Limits and Colimits, Products and Coproducts, Exactness
Govorov's Theorem, Filtered Categories
Abelian Categories, Mitchell's Embedding Lemma
Projective Modules
Loose Ends, Injective Modules
Complexes, Snake Lemma, Homotopies of Complexes
Derived Functors
Tor and Ext
Group Cohomology