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arXiv · 2101.06501

Filters on a countable vector space

Iian B. Smythe
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Abstract

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 $\mathrm{FIN}$.

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Iian B. Smythe. 2021-01-16. Filters on a countable vector space. https://doi.org/10.4064/fm197-5-2022

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