Homogeneity degree for the product of a manifold and a curve
Volume 160 / 2020
Colloquium Mathematicum 160 (2020), 141-149
MSC: 54F15, 54F50.
DOI: 10.4064/cm7346-1-2019
Published online: 17 January 2020
Abstract
The homogeneity degree of a space $X$ is the number of orbits for the action of the group of homeomorphisms of $X$. We determine the homogeneity degree of the Cartesian product $C\times M$ in terms of that of $C$ and $M$, for $C$ being a locally connected curve and $M$ being a compact and connected manifold.
