Filters on a countable vector space
Logic
2024-07-22 v2
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 .
Keywords
Cite
@article{arxiv.2101.06501,
title = {Filters on a countable vector space},
author = {Iian B. Smythe},
journal= {arXiv preprint arXiv:2101.06501},
year = {2024}
}
Comments
17 pages, 2 figures. Submitted