Cellular $E_k$-algebras
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866916075567841280 |
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| author | Galatius, Soren Kupers, Alexander Randal-Williams, Oscar |
| author_facet | Galatius, Soren Kupers, Alexander Randal-Williams, Oscar |
| contents | We give a set of foundations for cellular $E_k$-algebras which are especially convenient for applications to homological stability. We provide conceptual and computational tools in this setting, such as filtrations, a homology theory for $E_k$-algebras with a Hurewicz theorem, CW approximations, and many spectral sequences, which shall be used for such applications in future papers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_07184 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Cellular $E_k$-algebras Galatius, Soren Kupers, Alexander Randal-Williams, Oscar Algebraic Topology 57R90, 57R15, 57R56, 55P47 We give a set of foundations for cellular $E_k$-algebras which are especially convenient for applications to homological stability. We provide conceptual and computational tools in this setting, such as filtrations, a homology theory for $E_k$-algebras with a Hurewicz theorem, CW approximations, and many spectral sequences, which shall be used for such applications in future papers. |
| title | Cellular $E_k$-algebras |
| topic | Algebraic Topology 57R90, 57R15, 57R56, 55P47 |
| url | https://arxiv.org/abs/1805.07184 |