| Autor: |
Bergner, Julia E., Osorno, Angélica M., Ozornova, Viktoriya, Rovelli, Martina, Scheimbauer, Claudia I. |
| Rok vydání: |
2018 |
| Předmět: |
|
| Zdroj: |
Algebr. Geom. Topol. 21 (2021) 1267-1326 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.2140/agt.2021.21.1267 |
| Popis: |
In a previous paper, we showed that a discrete version of the $S_\bullet$-construction gives an equivalence of categories between unital 2-Segal sets and augmented stable double categories. Here, we generalize this result to the homotopical setting, by showing that there is a Quillen equivalence between a model category for unital 2-Segal objects and a model category for augmented stable double Segal objects which is given by an $S_\bullet$-construction. We show that this equivalence fits together with the result in the discrete case and briefly discuss how it encompasses other known $S_\bullet$-constructions. |
| Databáze: |
arXiv |
| Externí odkaz: |
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