Concept
Timeline of category theory and related mathematics
Related lectures (13)
Derived Functors in Homotopical Algebra
Covers the Fundamental Theorem of homotopical algebra, Quillen pairs, and derived functors.
Existence of Left Derived Functors: Part 2
Concludes the proof of the existence of left derived functors and discusses total left and right derived functors.
Introduction to Derived Functors: Left and Right Derived Functors
Introduces left and right derived functors in homotopical algebra, emphasizing their uniqueness and providing an illustrative example.
Homotopical Algebra: The Homotopy Category of a Model Category
Focuses on proving the construction of the homotopy category and its properties, including preservation of composition and uniqueness of functors.
Quillen pairs and Quillen equivalences: Derived functors
Explores Quillen pairs, equivalences, and derived functors in homotopical algebra.