A universal $P$-group of weight $\aleph $
Volume 180 / 2026
Colloquium Mathematicum 180 (2026), 85-97
MSC: Primary 54D35; Secondary 54H11, 22A05
DOI: 10.4064/cm9741-1-2026
Published online: 12 March 2026
Abstract
We show that under the Continuum Hypothesis, the topological group of all homeomorphisms of the Čech–Stone remainder of $\omega $ with the $G_\delta $-topology is a universal object for all $P$-groups of weight at most $\mathfrak c$.
