So, what is a derived functor?
| Autor: | Vladimir Hinich |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Final version
Pure mathematics Functor Derived functor media_common.quotation_subject Mathematics - Category Theory Context (language use) Infinity 18G10 18G55 Mathematics (miscellaneous) Mathematics::Category Theory Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) Category Theory (math.CT) Mathematics media_common Kan extension |
| Zdroj: | Homology, Homotopy and Applications. 22:279-293 |
| ISSN: | 1532-0081 1532-0073 |
| Popis: | In the context of infinity categories, we rethink the notion of derived functor in terms of correspondences. This is especially convenient for the description of a passage from an adjoint pair (F,G) of functors to a derived adjoint pair (LF,RG). In particular, canonicity of this passage becomes obvious. 2nd version: added comparison to Deligne's definition (SGA4) and a discussion of diagrams of derived functors. Introduction rewritten and references added. 3rd version: description of Kan extensions in terms of correspondences more detailed. 4th version: the final version accepted to HHA. 12 pages, Version 3: 16 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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