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arXiv · 1905.10690

Homotopies in Grothendieck fibrations

Joseph Helfer
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Abstract

We define a natural 2-categorical structure on the base category of a large class of Grothendieck fibrations. Given any model category $\mathbf{C}$, we apply this construction to a fibration whose fibers are the homotopy categories of the slice categories $\mathbf{C}/A$, and we show that in the case $\mathbf{C}=\mathbf{Top}$, our construction applied to this fibration recovers the usual 2-category of spaces.

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Joseph Helfer. 2019-05-25. Homotopies in Grothendieck fibrations. https://arxiv.org/abs/1905.10690

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