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Examples of sequential topological groups under the continuum hypothesis

100%

Shibakov A.

Fundamenta Mathematicae

1996

tom 151

nr 2

107-120

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.

Sequential topological groups of any sequential order under CH

100%

Shibakov A.

Fundamenta Mathematicae

1998

tom 155

nr 1

79-89

For any $α < ω_1$ a countable sequential topological group of sequential order α is constructed using CH.

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2 Fundamenta Mathematicae

2 Shibakov A.

1 1998

1 1996

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Examples of sequential topological groups under the continuum hypothesis

Sequential topological groups of any sequential order under CH