Deformations of homotopy theories via algebraic theories
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915441709940736 |
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| author | Balderrama, William |
| author_facet | Balderrama, William |
| contents | We develop a homotopical variant of the classic notion of an algebraic theory as a tool for producing deformations of homotopy theories. From this, we extract a framework for constructing and reasoning with obstruction theories and spectral sequences that compute homotopical data starting with purely algebraic data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_06801 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Deformations of homotopy theories via algebraic theories Balderrama, William Algebraic Topology Category Theory We develop a homotopical variant of the classic notion of an algebraic theory as a tool for producing deformations of homotopy theories. From this, we extract a framework for constructing and reasoning with obstruction theories and spectral sequences that compute homotopical data starting with purely algebraic data. |
| title | Deformations of homotopy theories via algebraic theories |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2108.06801 |