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arxiv: 1409.2165 · v1 · pith:B4FI4E2Lnew · submitted 2014-09-07 · 🧮 math.CT · math.AT

Dualizing cartesian and cocartesian fibrations

classification 🧮 math.CT math.AT
keywords cartesiancocartesianfibrationclassifiedconstructiondualdualizingexplicit
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In this technical note, we proffer a very explicit construction of the "dual cocartesian fibration" $p^{\vee}$ of a cartesian fibration $p$, and we show they are classified by the same functor to $\mathbf{Cat}_{\infty}$.

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