Sequential topologies and Dedekind finite sets
Logic
2021-03-19 v1
Abstract
It is consistent with ZF set theory that the Euclidean topology on the real line is not sequential, yet every infinite set of reals contains a countably infinite subset. This answers a question of Gutierres.
Cite
@article{arxiv.2103.10001,
title = {Sequential topologies and Dedekind finite sets},
author = {Jindrich Zapletal},
journal= {arXiv preprint arXiv:2103.10001},
year = {2021}
}