Tohoku Mathematical Journal
- Tohoku Math. J. (2)
- Volume 70, Number 2 (2018), 267-284.
Closed three-dimensional Alexandrov spaces with isometric circle actions
We obtain a topological and weakly equivariant classification of closed three-dimensional Alexandrov spaces with an effective, isometric circle action. This generalizes the topological and equivariant classifications of Raymond  and Orlik and Raymond  of closed three-dimensional manifolds admitting an effective circle action. As an application, we prove a version of the Borel conjecture for closed three-dimensional Alexandrov spaces with circle symmetry.
Tohoku Math. J. (2), Volume 70, Number 2 (2018), 267-284.
First available in Project Euclid: 2 June 2018
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Núñez-Zimbrón, Jesús. Closed three-dimensional Alexandrov spaces with isometric circle actions. Tohoku Math. J. (2) 70 (2018), no. 2, 267--284. doi:10.2748/tmj/1527904822. https://projecteuclid.org/euclid.tmj/1527904822