$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$
8 The Yoneda Embedding
Structure
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Section 8.1: Twisted Arrows and Cospans
- Subsection 8.1.1: The Twisted Arrow Construction
- Subsection 8.1.2: Homotopy Transport for Twisted Arrows
- Subsection 8.1.3: The Universal Property of Twisted Arrows
- Subsection 8.1.4: The Cospan Construction
- Subsection 8.1.5: Morphisms in the Duskin Nerve
- Subsection 8.1.6: Cospans in $\infty $-Categories
- Subsection 8.1.7: Thin $2$-Simplices of $\operatorname{Cospan}(\operatorname{\mathcal{C}})$
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Section 8.2: The Yoneda Embedding
- Subsection 8.2.1: Yoneda's Lemma
- Subsection 8.2.2: Profunctors of $\infty $-Categories
- Subsection 8.2.3: Hom-Functors for $\infty $-Categories
- Subsection 8.2.4: Strict Models for Hom-Functors
- Subsection 8.2.5: The Yoneda Embedding
- Subsection 8.2.6: Representable Profunctors
- Subsection 8.2.7: Adjunctions as Profunctors