Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

6 Adjoint Functors

Structure

  • Section 6.1: Adjunctions in $2$-Categories
    • Subsection 6.1.1: Adjunctions
    • Subsection 6.1.2: Adjuncts
    • Subsection 6.1.3: Uniqueness of Adjoints
    • Subsection 6.1.4: Adjoints of Isomorphisms
    • Subsection 6.1.5: Composition of Adjunctions
    • Subsection 6.1.6: Duality in Monoidal Categories
  • Section 6.2: Adjoint Functors Between $\infty $-Categories
    • Subsection 6.2.1: Adjunctions of $\infty $Categories
    • Subsection 6.2.2: Reflective Subcategories
    • Subsection 6.2.3: Correspondences
    • Subsection 6.2.4: Existence of Adjoints
  • Section 6.3: Localization
    • Subsection 6.3.1: Localizations of $\infty $-Categories
    • Subsection 6.3.2: Existence of Localizations
    • Subsection 6.3.3: Reflective Localizations
    • Subsection 6.3.4: Stability Properties of Localizations
    • Subsection 6.3.5: The Category of Simplices