Forage

Part 1: Foundations

• Chapter 1: The Language of $\infty $-Categories
• Chapter 2: Examples of $\infty $-Categories
• Chapter 3: Kan Complexes
• Chapter 4: The Homotopy Theory of $\infty $-Categories
• Chapter 5: Fibrations of $\infty $-Categories

Part 2: Higher Category Theory

• Chapter 6: Adjoint Functors
• Chapter 7: Limits and Colimits