A Classification of Six Functor Formalisms via Structured Spaces
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915396154556416 |
|---|---|
| author | Nabaala, Salash Tolan |
| author_facet | Nabaala, Salash Tolan |
| contents | We lay out an infinity categorical interpretation of reconstruction theorems which are germane to the symmetric monoidal perspective of noncommutative algebraic geometry, present sufficient conditions which allow for the factorization of certain six functor formalisms through animated S-stacks, and give a six functor formalism through which the aforementioned six functor formalisms factor through. Furthermore, and what is arguably the main feat of this article, these achievements, though in appearance arising from disparate concerns, are realized in the dissipation of a familiar thematic tension: that between space and quantity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13114 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Classification of Six Functor Formalisms via Structured Spaces Nabaala, Salash Tolan Algebraic Topology Algebraic Geometry Category Theory General Topology We lay out an infinity categorical interpretation of reconstruction theorems which are germane to the symmetric monoidal perspective of noncommutative algebraic geometry, present sufficient conditions which allow for the factorization of certain six functor formalisms through animated S-stacks, and give a six functor formalism through which the aforementioned six functor formalisms factor through. Furthermore, and what is arguably the main feat of this article, these achievements, though in appearance arising from disparate concerns, are realized in the dissipation of a familiar thematic tension: that between space and quantity. |
| title | A Classification of Six Functor Formalisms via Structured Spaces |
| topic | Algebraic Topology Algebraic Geometry Category Theory General Topology |
| url | https://arxiv.org/abs/2507.13114 |