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arXiv · 1703.07098

The dendroidal category is a test category

Dimitri Ara·Denis-Charles Cisinski·Ieke Moerdijk
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Abstract

We prove that the category of trees $\Omega$ is a test category in the sense of Grothendieck. This implies that the category of dendroidal sets is endowed with the structure of a model category Quillen-equivalent to spaces. We show that this model category structure, up to a change of cofibrations, can be obtained as an explicit left Bousfield localisation of the operadic model category structure.

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Dimitri Ara, Denis-Charles Cisinski, Ieke Moerdijk. 2017-03-21. The dendroidal category is a test category. https://doi.org/10.1017/s030500411800021x

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