On topological rigidity of Alexandrov $3$-spaces
Metric Geometry
2020-11-26 v1 Geometric Topology
Abstract
In this note we prove the Borel Conjecture for closed, irreducible and sufficiently collapsed three-dimensional Alexandrov spaces. We also pose several questions related to characterization of fundamental groups of three-dimensional Alexandrov spaces, finite groups acting on them and rigidity results.
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Cite
@article{arxiv.1812.09842,
title = {On topological rigidity of Alexandrov $3$-spaces},
author = {Noé Bárcenas and Jesús Núñez-Zimbrón},
journal= {arXiv preprint arXiv:1812.09842},
year = {2020}
}
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11 pages