We obtain a topological and equivariant classification of closed, connected three-dimensional Alexandrov spaces admitting a local isometric circle action. We show, in particular, that such spaces are homeomorphic to connected sums of some closed -manifold with a local circle action and finitely many copies of the suspension of the real projective plane.
"Three-dimensional Alexandrov spaces with local isometric circle actions." Kyoto J. Math. 60 (3) 801 - 823, September 2020. https://doi.org/10.1215/21562261-2019-0047