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Remove erroneous statement
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aisejohan committed Sep 1, 2019
1 parent 1f6f539 commit a252c48
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Expand Up @@ -193,6 +193,7 @@ Joseph Lipman
Daniel Litt
Huaxin Liu
Hsing Liu
Linyuan Liu
Qing Liu
Xuande Liu
Zeyu Liu
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10 changes: 2 additions & 8 deletions derived.tex
Expand Up @@ -2118,14 +2118,8 @@ \section{Quotients of triangulated categories}
Lemma \ref{lemma-universal-property-quotient}.
\end{proof}

\noindent
It is clear that in the lemma above the factorization of $H$ through
$\mathcal{D}/\Ker(H)$ is the universal factorization. Namely, if
$F : \mathcal{D} \to \mathcal{D}'$ is an exact functor of triangulated
categories and if there exists a homological functor
$H' : \mathcal{D}' \to \mathcal{A}$ such that $H \cong H' \circ F$, then
$F$ factors through the quotient functor
$Q : \mathcal{D} \to \mathcal{D}/\Ker(H)$.





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