Outputs (3)

Three-dimensional Alexandrov spaces: A survey (2022)
Book Chapter
Galaz-García, F., & Núñez-Zimbrón, J. (2022). Three-dimensional Alexandrov spaces: A survey. In G. Arizmendi Echegaray, L. Hernández-Lamoneda, & R. Herrera Guzmán (Eds.), Recent Advances in Alexandrov Geometry (49-88). Springer Verlag. https://doi.org/10.1007/978-3-030-99298-9_2

We survey several results concerning the geometry and topology of threedimensional Alexandrov spaces with the aim of providing a panoramic and up-to-date view of the subject. In particular we present the classification of positively and nonnegatively... Read More about Three-dimensional Alexandrov spaces: A survey.

Collapsed 3-Dimensional Alexandrov Spaces: A Brief Survey (2020)
Book Chapter
Galaz-García, F., Guijarro, L., & Núñez-Zimbrón, J. (2020). Collapsed 3-Dimensional Alexandrov Spaces: A Brief Survey. In O. Dearricott, W. Tuschmann, Y. Nikolayevsky, T. Leistner, & D. Crowley (Eds.), Differential geometry in the large (291-310). Cambridge University Press. https://doi.org/10.1017/9781108884136.017

We survey two recent developments in the topic of three-dimensional Alexandrov spaces: the topological classification of closed collapsed threedimensional Alexandrov spaces and the geometrization of sufficiently collapsed closed three-dimensional Ale... Read More about Collapsed 3-Dimensional Alexandrov Spaces: A Brief Survey.

A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds (2014)
Book Chapter
Galaz-Garcia, F. (2014). A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds. In Geometry of Manifolds with Non-negative Sectional Curvature (45-55). Springer Verlag. https://doi.org/10.1007/978-3-319-06373-7_3