Hereditarily non-topologizable groups

Details Hereditarily non-topologizable groups Hereditarily non-topologizable groups

2006-03-21

arxiv.org/abs/math/0603513v1

Topology Proceedings 33 (2009), 269-275

Mathematics

Group Theory

v0.99, 4 pages

Scientific paper

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.

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