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Let $\mathcal C$ be a category, and consider a new category $\mathcal C'$ with $Obj(\mathcal C') := \{$pairs $(X \in Obj(\mathcal C), T \in End_{\mathcal C}(X)) \}$ $Hom_{\mathcal C'}((X,T_X),(Y,T_Y …

"Argument involution"? I have never heard a name for the map, and I'm sure I would use "the $z\leftrightarrow z^{-1}$ map" as the name, in a paper.

"Yoga" and "yoke" (as in of oxen) are derived from the same Indo-European root, meaning a linkage. Of course "linkage", and "relation", and "connection", and "join", all have mathematical meanings al …

The closest term I know is "idempotent", though that's only for $n=1$.

I'm running into a functional associated to a piecewise smooth curve $\gamma: [0,1] \to V$, where $V$ is a real vector space with a symplectic form $\omega$: $$ \int_{0 \leq x \leq y \leq 1} \omega(\ …

I've heard the term "stacky point" said out loud many times. This may well be one of those phrases that's acceptable spoken but nobody wants to be the first to put into print.

Obviously one doesn't want to steal this terminology directly and speak of "cone edges". …