Abstract
The following problem is considered: for a given group of homeomorphisms of a topological space, it is required to determine if there exists in this space a curve for which the given group is a group of oriented homeomorphisms. A constructive solution of the problem is given for a wide class of groups of homeomorphisms of linearly connected topological spaces. In a number of cases, the questions on the uniqueness of the constructed curve and on the kernel of action of the group on the curve are investigated.
| Translated title of the contribution | On the possibility of constructing a curve for a given group of homeomorphisms |
|---|---|
| Original language | Russian |
| Pages (from-to) | 218-229 |
| Number of pages | 12 |
| Journal | Труды института математики и механики УрО РАН |
| Volume | 18 |
| Issue number | 3 |
| Publication status | Published - 2012 |
GRNTI
- 27.21.00
Level of Research Output
- VAK List