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arXiv · 1910.01223

Quillen's Theorem A and the Whitehead theorem for bicategories

Niles Johnson·Donald Yau
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Abstract

We prove a bicategorical analogue of Quillen's Theorem A. As an application, we deduce the well-known result that a pseudofunctor is a biequivalence if and only if it is essentially surjective on objects, essentially full on 1-cells, and fully faithful on 2-cells.

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Niles Johnson, Donald Yau. 2019-10-02. Quillen's Theorem A and the Whitehead theorem for bicategories. https://arxiv.org/abs/1910.01223

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