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arXiv · 1702.06080

Three-dimensional Alexandrov spaces with local isometric circle actions

Fernando Galaz-Garcia·Jesús Núñez-Zimbrón
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Abstract

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 3-manifold with a local circle action and finitely many copies of the suspension of the real projective plane.

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Fernando Galaz-Garcia, Jesús Núñez-Zimbrón. 2017-02-20. Three-dimensional Alexandrov spaces with local isometric circle actions. https://doi.org/10.1215/21562261-2019-0047

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