Replacing functors with enriched ones
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866918126660091904 |
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| author | Blom, Thomas |
| author_facet | Blom, Thomas |
| contents | We describe simple criteria under which a given functor is naturally equivalent to an enriched one. We do this for several bases of enrichment, namely (pointed) simplicial sets, (pointed) topological spaces and orthogonal spectra. We also describe a few corollaries, such as a new proof of a result of Lurie on Dwyer-Kan localizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_11320 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Replacing functors with enriched ones Blom, Thomas Algebraic Topology Category Theory We describe simple criteria under which a given functor is naturally equivalent to an enriched one. We do this for several bases of enrichment, namely (pointed) simplicial sets, (pointed) topological spaces and orthogonal spectra. We also describe a few corollaries, such as a new proof of a result of Lurie on Dwyer-Kan localizations. |
| title | Replacing functors with enriched ones |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2210.11320 |