Stability of \(e^\epsilon\)-Lipschitz and co-Lipschitz maps in Gromov-Hausdorff topology

DOI10.1016/j.aim.2012.05.018zbMath1267.53045OpenAlexW2065575205MaRDI QIDQ452045

Xiaochun Rong, Shicheng Xu

Publication date: 19 September 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.05.018

zbMATH Keywords

Alexandrov spacesGromov-Hausdorff topologystability of fiber bundles

Mathematics Subject Classification ID

Metric geometry (51F99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (10)

A fibration theorem for collapsing sequences of Alexandrov spaces ⋮ Application of good coverings to collapsing Alexandrov spaces ⋮ Hurewicz fibrations, almost submetries and critical points of smooth maps ⋮ Margulis lemma and Hurewicz fibration theorem on Alexandrov spaces ⋮ Pointed Gromov-Hausdorff topological stability for non-compact metric spaces ⋮ A parametrized compactness theorem under bounded Ricci curvature ⋮ Convergence of vector bundles with metrics of Sasaki-type ⋮ Holonomic Spaces ⋮ Nonnegatively curved Alexandrov spaces with souls of codimension two ⋮ Collapsing to Alexandrov spaces with isolated mild singularities

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