Revisiting Hugo Volger's paper Uber die Existenz der freien Algebren
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913005961216000 |
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| author | Menni, Matias Tholen, Walter |
| author_facet | Menni, Matias Tholen, Walter |
| contents | We give a modern account of Hugo Volger's 1967 paper which, motivated by the construction of free algebras for a Lawvere-Linton theory, gives a very constructive proof that the left Kan extension of a product-preserving Set-valued functor is product-preserving. We also analyze how it anticipates, and in part even exceeds, subsequent work of the 1970s. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20286 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revisiting Hugo Volger's paper Uber die Existenz der freien Algebren Menni, Matias Tholen, Walter Category Theory 18C10, 08B20, 18A40, 18D20 We give a modern account of Hugo Volger's 1967 paper which, motivated by the construction of free algebras for a Lawvere-Linton theory, gives a very constructive proof that the left Kan extension of a product-preserving Set-valued functor is product-preserving. We also analyze how it anticipates, and in part even exceeds, subsequent work of the 1970s. |
| title | Revisiting Hugo Volger's paper Uber die Existenz der freien Algebren |
| topic | Category Theory 18C10, 08B20, 18A40, 18D20 |
| url | https://arxiv.org/abs/2412.20286 |