Convergence in topological groups and the Cohen reals

2016/11/15 by Shibakov, Alexander
#FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1611.04998

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 ω₂ Cohen reals to a model of \diamondsuit.

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