Filters on a countable vector space
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914876608217088 |
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| author | Smythe, Iian B. |
| author_facet | Smythe, Iian B. |
| contents | We study various combinatorial properties, and the implications between them, for filters generated by infinite-dimensional subspaces of a countable vector space. These properties are analogous to selectivity for ultrafilters on the natural numbers and stability for ordered-union ultrafilters on $\mathrm{FIN}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_06501 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Filters on a countable vector space Smythe, Iian B. Logic 03E05 (primary), 15A03 (secondary) We study various combinatorial properties, and the implications between them, for filters generated by infinite-dimensional subspaces of a countable vector space. These properties are analogous to selectivity for ultrafilters on the natural numbers and stability for ordered-union ultrafilters on $\mathrm{FIN}$. |
| title | Filters on a countable vector space |
| topic | Logic 03E05 (primary), 15A03 (secondary) |
| url | https://arxiv.org/abs/2101.06501 |