Examples of sequential topological groups under the continuum hypothesis
Volume 151 / 1996
Fundamenta Mathematicae 151 (1996), 107-120
DOI: 10.4064/fm-151-2-107-120
Abstract
Using CH we construct examples of sequential topological groups: 1. a pair of countable Fréchet topological groups whose product is sequential but is not Fréchet, 2. a countable Fréchet and $α_1$ topological group which contains no copy of the rationals.
