Abstract
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 [26] and Orlik and Raymond [23] 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.
Citation
Jesús Núñez-Zimbrón. "Closed three-dimensional Alexandrov spaces with isometric circle actions." Tohoku Math. J. (2) 70 (2) 267 - 284, 2018. https://doi.org/10.2748/tmj/1527904822
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