Geodesic
An explicit comparison between 2–complicial sets and Θ2–spaces
Bergner, Julia E1 ; Ozornova, Viktoriya2 ; Rovelli, Martina3
1 Department of Mathematics, University of Virginia, Charlottesville, VA, United States
2 Max Planck Institute for Mathematics, Bonn, Germany
3 Department of Mathematics and Statistics, University of Massachusetts at Amherst, Amherst, MA, United States
Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 3827-3873

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We produce a direct Quillen equivalence between two models of (∞,2)–categories: the complete Segal Θ2–spaces due to Rezk and the 2–complicial sets due to Verity.

DOI : 10.2140/agt.2024.24.3827
Keywords: $(\infty,2)$–categories, $2$–categories, complicial sets, complete Segal $\Theta_2$–spaces

Bergner, Julia E 1 ; Ozornova, Viktoriya 2 ; Rovelli, Martina 3

1 Department of Mathematics, University of Virginia, Charlottesville, VA, United States
2 Max Planck Institute for Mathematics, Bonn, Germany
3 Department of Mathematics and Statistics, University of Massachusetts at Amherst, Amherst, MA, United States 
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Bergner, Julia E; Ozornova, Viktoriya; Rovelli, Martina. An explicit comparison between 2–complicial sets and Θ2–spaces. Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 3827-3873. doi: 10.2140/agt.2024.24.3827

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