Symmetric subsets and colorings of connected compact groups. (English. Ukrainian original) Zbl 0987.22001
Ukr. Math. J. 53, No. 5, 804-808 (2001); translation from Ukr. Mat. Zh. 53, No. 5, 694-697 (2001).
Summary: We find upper and lower bounds of the Haar measure of a monochromatic symmetric subset which can be found in every measurable \(r\)-coloring of a connected compact group.
MSC:
| 22A05 | Structure of general topological groups |
| 22A15 | Structure of topological semigroups |
| 54H11 | Topological groups (topological aspects) |
