Closed three-dimensional Alexandrov spaces with isometric circle actions

Abstract

We obtain a topological and weakly equivariant classification of closed three-dimensional Alexandrov spaces with an effective isometric circle action. As an application of the classification we prove a version of the Borel conjecture for closed three-dimensional Alexandrov spaces with circle symmetry.

Final version to appear in Tohoku Math. J

Cited by in corpus (3)

• Three-dimensional Alexandrov spaces with local isometric circle actions
• Distributional category of manifolds
• Torus actions on Alexandrov 4-spaces