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Yoneda's lemma for internal higher categories

Published 31 Mar 2021 in math.CT and math.AT | (2103.17141v3)

Abstract: We develop some basic concepts in the theory of higher categories internal to an arbitrary $\infty$-topos. We define internal left and right fibrations and prove a version of the Grothendieck construction and of Yoneda's lemma for internal categories.

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