While reading an article, I encountered this expression. Expression
I was wondering if anyone knows what does the corner brackets ｢(upper) and ｣(down) in this expression do?
Thank you.
2026-03-25 06:28:41.1774420121
Stuck with Category Theory notation. What is the meaning of 'Corner brackets' ｢ ｣?
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It is not a standard notation, but it is clearly stated that they are functions of the forms $$ \begin{align*} \lceil\ \rceil \colon Ob(\mathcal D) \to [\mathcal C,\mathcal E]\\ \lfloor \ \rfloor \colon Ob(\mathcal C) \to [\mathcal D, \mathcal E] \end{align*} $$ satisfying the equation $$ \lceil D\rceil(C) = \lfloor C \rfloor(D)\ . $$
From the nature of the equation I suppose that there is a bifunctor lurking around, but I cannot be sure with the limited amount of details provided.