Segal Theta_2-monoids as monoidal (infty,1)-categories
In this thesis we establish a model structure for (infty, 2)-categories with a single object based on Theta_2-spaces with prescribed Segal and completeness conditions. Then we build a chain of Quillen equivalences between the previously mentioned model and a model for monoidal (infty, 1)-categories, where we use the category of complete Segal spaces. The comparison of models extends the categorical principle that monoids correspond to categories with one object, adapting it to the realm of higher categories.
Institutions
- University of Virginia (US)
Publication Details
- Journal
- Libra
- Published
- 2025-08-02
- DOI
- https://doi.org/10.18130/nwmc-xk89
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00