Convergence in topological groups and the Cohen reals

Alexander Shibakov

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arXiv · 1611.04998

Convergence in topological groups and the Cohen reals

Alexander Shibakov

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Abstract

We show that it is consistent to have an uncountable sequential group of intermediate sequential order while no countable such groups exist. This is proved by adding $\omega_2$ Cohen reals to a model of $\diamondsuit$.

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Alexander Shibakov. 2016-11-15. Convergence in topological groups and the Cohen reals. https://arxiv.org/abs/1611.04998

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