How to invert well-pointed endofunctors
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915530936418304 |
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| author | Booth, Matt |
| author_facet | Booth, Matt |
| contents | In this short note we observe that Kelly's transfinite construction of free algebras yields a way to invert well-pointed endofunctors. In enriched settings, this recovers constructions of Keller, Seidel, and Chen-Wang. We also relate this procedure to localisation by spectra and to Heller's stabilisation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02277 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | How to invert well-pointed endofunctors Booth, Matt Category Theory Algebraic Topology Representation Theory 18E35, 18D20, 18G35, 55P42 In this short note we observe that Kelly's transfinite construction of free algebras yields a way to invert well-pointed endofunctors. In enriched settings, this recovers constructions of Keller, Seidel, and Chen-Wang. We also relate this procedure to localisation by spectra and to Heller's stabilisation. |
| title | How to invert well-pointed endofunctors |
| topic | Category Theory Algebraic Topology Representation Theory 18E35, 18D20, 18G35, 55P42 |
| url | https://arxiv.org/abs/2510.02277 |