Approximation Theory and Elementary Submodels
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911914045472768 |
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| author | Cox, Sean |
| author_facet | Cox, Sean |
| contents | \emph{Approximation Theory} uses nicely-behaved subcategories to understand entire categories, just as projective modules are used to approximate arbitrary modules in classical homological algebra. We use set-theoretic \emph{elementary submodel arguments} to give new, short proofs of well-known theorems in approximation theory, sometimes with stronger results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximation Theory and Elementary Submodels Cox, Sean Logic Commutative Algebra Category Theory Rings and Algebras 16E30, 16D40, 03E75, 16D90, 18G25, 16B70 \emph{Approximation Theory} uses nicely-behaved subcategories to understand entire categories, just as projective modules are used to approximate arbitrary modules in classical homological algebra. We use set-theoretic \emph{elementary submodel arguments} to give new, short proofs of well-known theorems in approximation theory, sometimes with stronger results. |
| title | Approximation Theory and Elementary Submodels |
| topic | Logic Commutative Algebra Category Theory Rings and Algebras 16E30, 16D40, 03E75, 16D90, 18G25, 16B70 |
| url | https://arxiv.org/abs/2405.19634 |