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Completions and DK-equivalences of ${Θ_n}$-spaces

Published 3 Mar 2025 in math.CT and math.AT | (2503.01687v3)

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 of Dwyer-Kan equivalences between Segal $\Theta_n$ spaces.

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