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 |
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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