Completions and DK-equivalences of Theta_n-spaces

Author: ORCID icon orcid.org/0009-0000-4938-1551
Tuominen, Miika, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Advisor:
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)
Issued Date:
2025/04/30