Math Notes

University Mathematics

Model Categories

Model Categories

Concepts

Model Categories - Core Definitions Model Category Homotopy and Homotopy Category Weak Equivalence Quillen Adjunctions and Equivalences Fibration and Cofibration Homotopy Category Ho(M)Quillen Adjunction and Equivalence

Theorems

Small Object Argument Ken Brown's Lemma Ken Brown Lemma Kan--Quillen Model Structure on sSet

Proofs

Proof of Factorization Axiom via Small Object Argument

Mathematics Lecture Notes