Subsection 5.3.3 (00DY): The Left Skew Unit

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The left skew unit of the left tensor product of pointed sets is the functor

\[ \mathbb {1}^{\mathsf{Sets}_{*},\lhd } \colon \mathsf{pt}\to \mathsf{Sets}_{*} \]

defined by

\[ \mathbb {1}^{\lhd }_{\mathsf{Sets}_{*}}\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}S^{0}. \]

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