Examples of sequential topological groups under the continuum hypothesis

Alexander Shibakov

ArticleOriginal scientific text

Title

Examples of sequential topological groups under the continuum hypothesis

Authors ¹

Affiliations

Department of Mathematics, Auburn University, Auburn, Alabama 36849, U.S.A.

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.

Keywords

ENG

topological group, sequential space, Fréchet space

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Title

Examples of sequential topological groups under the continuum hypothesis

Affiliations

Abstract

Keywords

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