13 citations · 42 across the 9 of their papers we have counts for
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Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric
Fernando Galaz-Garcia, Luis Guijarro, Jesús Núñez-Zimbrón
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 generalized tetrahedral property
Jesús Nuñez-Zimbrón, Raquel Perales
We present examples of metric spaces that are not Riemannian manifolds nor dimensionally homogeneous that satisfy the Tetrahedral Property. In spite of that, Euclidean cones over m…
Three-dimensional Alexandrov spaces with local isometric circle actions
Fernando Galaz-Garcia, Jesús Núñez-Zimbrón
We obtain a topological and equivariant classification of closed, connected three-dimensional Alexandrov spaces admitting a local isometric circle action. We show, in particular, t…