2-Segal sets from cuts of rooted trees
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917896514437120 |
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| author | Bergner, Julia E. Borghi, Olivia Dey, Pinka Gálvez-Carrillo, Imma Hoekstra-Mendoza, Teresa |
| author_facet | Bergner, Julia E. Borghi, Olivia Dey, Pinka Gálvez-Carrillo, Imma Hoekstra-Mendoza, Teresa |
| contents | The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen $S_\bullet$-construction in algebraic $K$-theory, Hall algebras, and (co)operads. In this paper, we construct 2-Segal sets from rooted trees and explore how these applications are illustrated by this example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10518 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 2-Segal sets from cuts of rooted trees Bergner, Julia E. Borghi, Olivia Dey, Pinka Gálvez-Carrillo, Imma Hoekstra-Mendoza, Teresa Algebraic Topology Combinatorics Category Theory K-Theory and Homology Primary: 55U10, 18G30, Secondary: 18D05 The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen $S_\bullet$-construction in algebraic $K$-theory, Hall algebras, and (co)operads. In this paper, we construct 2-Segal sets from rooted trees and explore how these applications are illustrated by this example. |
| title | 2-Segal sets from cuts of rooted trees |
| topic | Algebraic Topology Combinatorics Category Theory K-Theory and Homology Primary: 55U10, 18G30, Secondary: 18D05 |
| url | https://arxiv.org/abs/2501.10518 |