Filters on a countable vector space
arXiv:2101.06501 · doi:10.4064/fm197-5-2022
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 .
17 pages, 2 figures. Submitted