ISU MATH 617 Fall 2018

Category Theory

Course Material

Course Material

Lecture summary

Week 1: Course overview. Definition and examples of categories. Classes and sets. Small and locally small categories. Isomorphisms. Subcategories. Duality. Monos and epis. Slice categories.

Week 2: Functors

Week 3: Sketch of Singular homology

Week 4: Natural transformations

Week 5: Representable functors

Week 6: Yoneda's Lemma