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arXiv · 1812.09842

On topological rigidity of Alexandrov $3$-spaces

Noé Bárcenas·Jesús Núñez-Zimbrón
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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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Noé Bárcenas, Jesús Núñez-Zimbrón. 2018-12-24. On topological rigidity of Alexandrov $3$-spaces. https://doi.org/10.4171/rmi%2F1241

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