All K-theory is squares K-theory
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914176202440704 |
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| author | Kuijper, Josefien |
| author_facet | Kuijper, Josefien |
| contents | We show that the K-theory spectra of many assemblers, such as the assembler of polytopes in euclidean, hyperbolic or spherical geometry, as well as the assembler of definable sets, are equivalent to the K-theory spectrum of a squares category. We use this to lift the definable Euler characteristic of definable sets in an o-minimal structure to a map of K-theory spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01813 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | All K-theory is squares K-theory Kuijper, Josefien K-Theory and Homology Algebraic Topology We show that the K-theory spectra of many assemblers, such as the assembler of polytopes in euclidean, hyperbolic or spherical geometry, as well as the assembler of definable sets, are equivalent to the K-theory spectrum of a squares category. We use this to lift the definable Euler characteristic of definable sets in an o-minimal structure to a map of K-theory spectra. |
| title | All K-theory is squares K-theory |
| topic | K-Theory and Homology Algebraic Topology |
| url | https://arxiv.org/abs/2512.01813 |