Kerodon

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

7 Limits and Colimits

Structure

  • Section 7.1: Limits and Colimits
    • Subsection 7.1.1: Initial and Final Objects of $\infty $-Categories
    • Subsection 7.1.2: Representable Fibrations
    • Subsection 7.1.3: Limits and Colimits
    • Subsection 7.1.4: Preservation of Limits and Colimits
    • Subsection 7.1.5: Relative Limits and Colimits
  • Section 7.2: Cofinality
    • Subsection 7.2.1: Cofinal Morphisms of Simplicial Sets
    • Subsection 7.2.2: Cofinality and Limits
    • Subsection 7.2.3: Quillen's Theorem A for $\infty $-Categories
    • Subsection 7.2.4: Filtered $\infty $-Categories
    • Subsection 7.2.5: Local Characterization of Filtered $\infty $-Categories
    • Subsection 7.2.6: Left Fibrations over Filtered $\infty $-Categories
    • Subsection 7.2.7: Cofinal Approximation
    • Subsection 7.2.8: Sifted Simplicial Sets