Axial permutations of $\omega ^2$
Volume 142 / 2016
Colloquium Mathematicum 142 (2016), 267-273
MSC: Primary 03E05, 03E20; Secondary 26B40.
DOI: 10.4064/cm142-2-7
Abstract
We prove that every permutation of $\omega ^2$ is a composition of a finite number of axial permutations, where each axial permutation moves only a finite number of elements on each axis.
