相关论文: Topological transformation groups

Recent results on finite open group transformations are reviewed.

We survey some results on toric topology.

We survey new results on finite groups of birational transformations of algebraic varieties.

The purpose of this paper is to survey the structure of closed and transitive transformation groups acting on a closed surface. In particular, we prove a number of relations between groups acting on the sphere that contain the rotation…

This survey is focused on the results related to topologies on the groups of transformations in ergodic theory, Borel, and Cantor dynamics. Various topological properties (density, connectedness, genericity) of these groups and their…

Topological characterization of torus groups is given.

By introducing various topologies on the homotopy groups of a topological space, some researchers make these well known notions in algebraic topology more useful and powerful. In this paper, first we recall and review some known topologies…

We introduce the notion of a transformation digroup and prove that every digroup is isomorphic to a transformation digroup.

In this paper we survey the main results about Golod-Shafarevich groups and their applications in algebra, number theory and topology.

Known and new results on free Boolean topological groups are collected. An account of properties which these groups share with free or free Abelian topological groups and properties specific of free Boolean groups is given. Special emphasis…

Various uses of the renormalization group are examined.

Free actions of finite groups on spheres give rise to topological spherical space forms. The existence and classification problems for space forms have a long history in the geometry and topology of manifolds. In this article, we present a…

In this note for a topological group $G$, we introduce a bounded subset of $G$ and we find some relationships of this definition with other topological properties of $G$.

We investigate continuous transitive actions of semitopological groups on spaces, as well as separately continuous transitive actions of topological groups.

Survey article on the geometry of spherical varieties. Invited survey for Transformation Groups.

In this survey article, we summarize some recent progress and problems on the symplectomorphism groups, with an emphasis on the connection to the space of ball-packings.

This is a paper in Analytic Topology.

In this paper, we mainly discuss some generalized metric properties and the character of the free paratopological groups, and extend several results valid for free topological groups to free paratopological groups.

The purpose of this paper is to study the transitive group-groupoids.

This is a survey of results on partially commutative groups and partially commutative algebras.