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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.18544 |
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| _version_ | 1866909406566809600 |
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| author | Bergner, Julia E. |
| author_facet | Bergner, Julia E. |
| contents | We give an introduction to the theory of 2-Segal sets, and two of the main applications of them: Hall algebras and a discrete version of Waldhausen's $S_\bullet$-construction. We present several combinatorial examples and how these constructions can be applied to them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18544 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Combinatorial examples and applications of 2-Segal sets Bergner, Julia E. Algebraic Topology Combinatorics Category Theory 55U10, 18N50, 19D10 We give an introduction to the theory of 2-Segal sets, and two of the main applications of them: Hall algebras and a discrete version of Waldhausen's $S_\bullet$-construction. We present several combinatorial examples and how these constructions can be applied to them. |
| title | Combinatorial examples and applications of 2-Segal sets |
| topic | Algebraic Topology Combinatorics Category Theory 55U10, 18N50, 19D10 |
| url | https://arxiv.org/abs/2411.18544 |