Example 4.1.1.1.4 (009E): The Trivial Pointed Set

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The trivial pointed set is the pointed set $\webleft (\text{pt},\star \webright )$ consisting of:

The Underlying Set. The punctual set $\text{pt}\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\webleft\{ \star \webright\} $.
The Basepoint. The element $\star $ of $\text{pt}$.

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