Collapsed 3-Dimensional Alexandrov Spaces: A Brief Survey

Galaz-García, Fernando; Guijarro, Luis; Núñez-Zimbrón, Jesús

doi:10.1017/9781108884136.017

Collapsed 3-Dimensional Alexandrov Spaces: A Brief Survey

Galaz-García, Fernando; Guijarro, Luis; Núñez-Zimbrón, Jesús

Authors

Fernando Galaz-García fernando.galaz-garcia@durham.ac.uk
Associate Professor

Luis Guijarro

Jesús Núñez-Zimbrón

Contributors

Owen Dearricott
Editor

Wilderich Tuschmann
Editor

Yuri Nikolayevsky
Editor

Thomas Leistner
Editor

Diarmuid Crowley
Editor

Abstract

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 Alexandrov spaces.

Citation

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

Online Publication Date	Oct 7, 2020
Publication Date	2020
Deposit Date	Oct 7, 2020
Publicly Available Date	Apr 1, 2021
Publisher	Cambridge University Press
Pages	291-310
Series Title	London Mathematical Society lecture note series
Series Number	463
Book Title	Differential geometry in the large.
ISBN	9781108812818
DOI	https://doi.org/10.1017/9781108884136.017
Public URL	https://durham-repository.worktribe.com/output/1627221

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Copyright Statement
This material has been published in Differential geometry in the large edited by Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner and Diarmuid Crowley. This version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University Press 2021.