Kerodon

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

2 Examples of $\infty $-Categories

Structure

  • Section 2.1: The Theory of $2$-Categories
    • Subsection 2.1.1: $2$-Categories
    • Subsection 2.1.2: Examples of $2$-Categories
    • Subsection 2.1.3: Opposite and Conjugate $2$-Categories
    • Subsection 2.1.4: Functors of $2$-Categories
    • Subsection 2.1.5: The Category of $2$-Categories
    • Subsection 2.1.6: Isomorphisms of $2$-Categories
  • Section 2.2: The Duskin Nerve of a $2$-Category
    • Subsection 2.2.1: The Duskin Nerve
    • Subsection 2.2.2: From $2$-Categories to $\infty $-Categories
    • Subsection 2.2.3: Thin $2$-Simplices of a Duskin Nerve
    • Subsection 2.2.4: Recovering a $2$-Category from its Duskin Nerve
    • Subsection 2.2.5: Twisted Arrows and the Nerve of $\operatorname{Corr}(\operatorname{\mathcal{C}})^{\operatorname{c}}$
    • Subsection 2.2.6: The Duskin Nerve of a Strict $2$-Category