О ВОЗМОЖНОСТИ ПОСТРОЕНИЯ КРИВОЙ ПО ЗАДАННОЙ ГРУППЕ ГОМЕОМОРФИЗМОВ

Translated title of the contribution: On the possibility of constructing a curve for a given group of homeomorphisms

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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 contributionOn the possibility of constructing a curve for a given group of homeomorphisms
Original languageRussian
Pages (from-to)218-229
Number of pages12
JournalТруды института математики и механики УрО РАН
Volume18
Issue number3
Publication statusPublished - 2012

GRNTI

  • 27.21.00

Level of Research Output

  • VAK List

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