A recognition criterion for lax-idempotent pseudomonads
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911328241713152 |
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| author | Bourke, John |
| author_facet | Bourke, John |
| contents | We describe a simple criterion which makes it easy to recognise when a pseudomonad is lax-idempotent. The criterion concerns the behaviour of colax bilimits of arrows - certain comma objects - and is easy to verify in examples. Building on this, we obtain a new characterisation of lax-idempotent pseudomonads on 2-categories with colax bilimits of arrows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A recognition criterion for lax-idempotent pseudomonads Bourke, John Category Theory 18N10, 18N15, 18C15 We describe a simple criterion which makes it easy to recognise when a pseudomonad is lax-idempotent. The criterion concerns the behaviour of colax bilimits of arrows - certain comma objects - and is easy to verify in examples. Building on this, we obtain a new characterisation of lax-idempotent pseudomonads on 2-categories with colax bilimits of arrows. |
| title | A recognition criterion for lax-idempotent pseudomonads |
| topic | Category Theory 18N10, 18N15, 18C15 |
| url | https://arxiv.org/abs/2512.05631 |