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arXiv · 2503.01687

Completions and DK-equivalences of ${\Theta_n}$-spaces

Miika Tuominen
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Abstract

We establish Rezk completion functors for $\Theta_n$-spaces with respect to each and all of the completeness conditions. As a consequence, we obtain a characterization completeness of Segal $\Theta_n$-spaces as locality with respect to higher-dimensional Dwyer-Kan equivalences.

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Miika Tuominen. 2025-03-03. Completions and DK-equivalences of ${\Theta_n}$-spaces. https://arxiv.org/abs/2503.01687

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