Algebraic $K_0$ for unpointed homotopy Categories
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866910546989678592 |
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| author | Küng, Felix |
| author_facet | Küng, Felix |
| contents | We introduce the notion of Grothendieck heaps for unpointed Waldhausen categories and unpointed stable $\infty$-categories. This allows an extension of the studies of $\mathrm{K}_0$ to the homotopy category of unpointed topological spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic $K_0$ for unpointed homotopy Categories Küng, Felix K-Theory and Homology Category Theory Group Theory 20N10, 16E20, 18F25, 18N25 We introduce the notion of Grothendieck heaps for unpointed Waldhausen categories and unpointed stable $\infty$-categories. This allows an extension of the studies of $\mathrm{K}_0$ to the homotopy category of unpointed topological spaces. |
| title | Algebraic $K_0$ for unpointed homotopy Categories |
| topic | K-Theory and Homology Category Theory Group Theory 20N10, 16E20, 18F25, 18N25 |
| url | https://arxiv.org/abs/2407.20911 |