• The Cone. The collection of maps
    \[ \webleft\{ !_{A}\colon A\to \text{pt}\webright\} _{A\in \text{Obj}\webleft (\mathsf{Sets}\webright )} \]

    defined by

    \[ !_{A}\webleft (a\webright )\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\star \]

    for each $a\in A$ and each $A\in \text{Obj}\webleft (\mathsf{Sets}\webright )$.


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