Completions and DK-equivalences of Theta_n-spaces

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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Publication Details

Journal
Libra
Published
2025-04-30
DOI
https://doi.org/10.18130/j0gt-w766
Primary Topic
Evolution and Paleontology Studies
Type
article
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article

Completions and DK-equivalences of Theta_n-spaces

Libra
Evolution and Paleontology Studies
article

Completions and DK-equivalences of Theta_n-spaces

article en

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.

Libra
University of Virginia (US)
Openalex Percentile: Top 50%
Evolution and Paleontology Studies
DOIOpen Access PDFOpenAlex
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Completions and DK-equivalences of Theta_n-spaces · Libra (2025) | TGRS Research Map | TGRS