Homogeneous ideals on countable sets
Logic
2017-09-26 v1
Abstract
We say that an ideal I is homogeneous, if its restriction to any I-positive subset is isomorphic to I. The paper investigates basic properties of this notion -- we give examples of homogeneous ideals and present some applications to topology and ideal convergence. Moreover, we answer questions related to our research.
Cite
@article{arxiv.1607.05610,
title = {Homogeneous ideals on countable sets},
author = {Adam Kwela and Jacek Tryba},
journal= {arXiv preprint arXiv:1607.05610},
year = {2017}
}