Examples of sequential topological groups under the continuum hypothesis
Fundamenta Mathematicae, Tome 151 (1996) no. 2, pp. 107-120.

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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.
DOI : 10.4064/fm-151-2-107-120
Keywords: topological group, sequential space, Fréchet space

Alexander Shibakov 1

1
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Alexander Shibakov. Examples of sequential topological groups under the continuum hypothesis. Fundamenta Mathematicae, Tome 151 (1996) no. 2, pp. 107-120. doi : 10.4064/fm-151-2-107-120. http://geodesic.mathdoc.fr/articles/10.4064/fm-151-2-107-120/

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