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Completions and DK-equivalences of Theta_n-spaces107 views
Author
Tuominen, Miika, Mathematics - Graduate School of Arts and Sciences, University of Virginia0009-0000-4938-1551
Advisors
Bergner, Julie, AS-Mathematics (MATH), University of Virginia
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.
Degree
PHD (Doctor of Philosophy)
Language
English
Rights
All rights reserved (no additional license for public reuse)
Tuominen, Miika. Completions and DK-equivalences of Theta_n-spaces. University of Virginia, Mathematics - Graduate School of Arts and Sciences, PHD (Doctor of Philosophy), 2025-04-30, https://doi.org/10.18130/j0gt-w766.