Abstract excision and \(\ell^1\)-homology (Q6638197)
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scientific article; zbMATH DE number 7944238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abstract excision and \(\ell^1\)-homology |
scientific article; zbMATH DE number 7944238 |
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Abstract excision and \(\ell^1\)-homology (English)
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14 November 2024
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The paper explores the concept of excisive functors within the framework of \(\infty\)-categories. Witzig demonstrates that the best approximation to the \(\ell^1\)-homology functor by an excisive functor is trivial. The paper also aims to explain these abstract concepts in a more accessible way for those unfamiliar with \(\infty\)-categories. Additionally, it proves that the singular chain complex functor is excisive in this abstract sense and connects this to classical excision statements through Mayer-Vietoris sequences.
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\(\ell^1\)-homology
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excision
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excisive approximation
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\(\infty\)-categories
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