Algebraic $K$-theory of stably compact spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912915692453888 |
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| author | Lehner, Georg |
| author_facet | Lehner, Georg |
| contents | We compute the value of finitary localizing invariants, including algebraic $K$-theory, on categories of sheaves over stably locally compact spaces $X$. Our formula simultaneously generalizes the cases of locally compact Hausdorff and coherent (spectral) spaces and recovers several smaller $K$-theory calculations as special instances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18245 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Algebraic $K$-theory of stably compact spaces Lehner, Georg K-Theory and Homology Algebraic Topology Category Theory General Topology Primary: 19D99, Secondary: 06D22, 54B40, 18F20, 18F70 We compute the value of finitary localizing invariants, including algebraic $K$-theory, on categories of sheaves over stably locally compact spaces $X$. Our formula simultaneously generalizes the cases of locally compact Hausdorff and coherent (spectral) spaces and recovers several smaller $K$-theory calculations as special instances. |
| title | Algebraic $K$-theory of stably compact spaces |
| topic | K-Theory and Homology Algebraic Topology Category Theory General Topology Primary: 19D99, Secondary: 06D22, 54B40, 18F20, 18F70 |
| url | https://arxiv.org/abs/2602.18245 |