A universal $P$-group of weight $\aleph$

Jan van Mill

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arXiv · 2510.15855

A universal $P$-group of weight $\aleph$

Jan van Mill

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Abstract

We show that under the Continuum Hypothesis, the topological group of all homeomorphisms of the \v{C}ech-Stone remainder of $\omega$ with the $G_\delta$-topology, is a universal object for all $P$-groups of weight at most ${\mathfrak c}$.

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Jan van Mill. 2025-10-17. A universal $P$-group of weight $\aleph$. https://arxiv.org/abs/2510.15855

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