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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2204.05700 |
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| _version_ | 1866911156647493632 |
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| author | Panasawatwong, Supakun Truss, J K |
| author_facet | Panasawatwong, Supakun Truss, J K |
| contents | We study the possible structures which can be carried by sets which have no countable subset, but which fail to be `surjectively Dedekind finite', in two possible senses, that there is a surjection to $ω$, or alternatively, that there is no surjection to a proper superset. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_05700 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Dedekind-finite cardinals having countable partitions Panasawatwong, Supakun Truss, J K Logic 03E25 We study the possible structures which can be carried by sets which have no countable subset, but which fail to be `surjectively Dedekind finite', in two possible senses, that there is a surjection to $ω$, or alternatively, that there is no surjection to a proper superset. |
| title | Dedekind-finite cardinals having countable partitions |
| topic | Logic 03E25 |
| url | https://arxiv.org/abs/2204.05700 |