Hereditarily non-topologizable groups
Group Theory
2011-09-27 v1 General Topology
Abstract
A group G is non-topologizable if the only Hausdorff group topology that G admits is the discrete one. Is there an infinite group G such that H/N is non-topologizable for every subgroup H <= G and every normal subgroup N <| H? We show that a solution of this essentially group theoretic question provides a solution to the problem of c-compactness.
Cite
@article{arxiv.math/0603513,
title = {Hereditarily non-topologizable groups},
author = {Gábor Lukács},
journal= {arXiv preprint arXiv:math/0603513},
year = {2011}
}
Comments
v0.99, 4 pages