The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912167233585152 |
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| author | Rovelli, Martina |
| author_facet | Rovelli, Martina |
| contents | This note is a contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-Theory, Hall Algebras, and Combinatorics". The content is a streamlined exposition based on a talk about a result by Bergner-Osorno-Ozornova-Rovelli-Scheimbauer from WITII. We discuss how a generalized version of Waldhausen's S-construction describes a correspondence between 2-Segal spaces and certain double Segal spaces, which satisfy further conditions of stability and augmentation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_17400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces Rovelli, Martina Algebraic Topology Category Theory K-Theory and Homology This note is a contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-Theory, Hall Algebras, and Combinatorics". The content is a streamlined exposition based on a talk about a result by Bergner-Osorno-Ozornova-Rovelli-Scheimbauer from WITII. We discuss how a generalized version of Waldhausen's S-construction describes a correspondence between 2-Segal spaces and certain double Segal spaces, which satisfy further conditions of stability and augmentation. |
| title | The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces |
| topic | Algebraic Topology Category Theory K-Theory and Homology |
| url | https://arxiv.org/abs/2412.17400 |