From ee1ea57fd8d9b85609071fad9f9e59c00a22aab0 Mon Sep 17 00:00:00 2001 From: Philip Kaludercic <philip.kaludercic@fau.de> Date: Fri, 22 Mar 2024 14:37:18 +0100 Subject: [PATCH] Rephrase colimit definition --- constructions.tex | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/constructions.tex b/constructions.tex index b8ce21a..89b4db9 100644 --- a/constructions.tex +++ b/constructions.tex @@ -73,10 +73,10 @@ \end{definition} \begin{definition}\label{def:colimit}\label{def:cocone} - A \emph{colimit} is a \emph{cocone} + A \emph{colimit} \(\left(K, \left(\inm{j} : \map{F(j)}{K}\right)_{j \in - \Ob{\J}}\right)\) is \de{dual} to a - \de{limit}, ensuring + \Ob{\J}}\right)\) is a \emph{cocone}, \de{dual} to a + \de{limit}, and ensures \[ \forall j \in \Ob{\J} \forall C \exists! h : \map{K}{C} \st h \circ \inm{j} = f_j. \] \end{definition} -- GitLab