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arxiv: 1807.05263 · v1 · pith:EICLRCNInew · submitted 2018-07-06 · 🧮 math.CT · cs.LO· math.LO

On local presentability of T/A

classification 🧮 math.CT cs.LOmath.LO
keywords mathcallambdalocallypresentableaccessiblecategoryfunctorlocal
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We prove that if $\mathcal{A}$ is a locally $\lambda$-presentable category and $T : \mathcal{A} \to \mathcal{A}$ is a $\lambda$-accessible functor then $T/\mathcal{A}$ is locally $\lambda$-presentable.

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