Filters on a countable vector space
Volume 260 / 2023
Fundamenta Mathematicae 260 (2023), 41-58
MSC: Primary 03E05; Secondary 15A03.
DOI: 10.4064/fm197-5-2022
Published online: 19 August 2022
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} $.
