Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric

@article{GalazGarca2020SufficientlyCI,
  title={Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric},
  author={Fernando Galaz-Garc{\'i}a and Luis Guijarro and Jes'us N'unez-Zimbr'on},
  journal={Indiana University Mathematics Journal},
  year={2020},
  volume={69},
  pages={977-1005}
}
We prove that sufficiently collapsed, closed and irreducible three-dimensional Alexandrov spaces are modeled on one of the eight three-dimensional Thurston geometries. This extends a result of Shioya and Yamaguchi, originally formulated for Riemannian manifolds, to the Alexandrov setting. 
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