# Univalence for inverse EI diagrams

@article{Shulman2015UnivalenceFI,
title={Univalence for inverse EI diagrams},
author={Michael Shulman},
journal={arXiv: Algebraic Topology},
year={2015}
}
We construct a new model category presenting the homotopy theory of presheaves on "inverse EI $(\infty,1)$-categories", which contains universe objects that satisfy Voevodsky's univalence axiom. In addition to diagrams on ordinary inverse categories, as considered in previous work of the author, this includes a new model for equivariant algebraic topology with a compact Lie group of equivariance. Thus, it offers the potential for applications of homotopy type theory to equivariant homotopy… Expand
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