A fibration theorem for collapsing sequences of Alexandrov spaces

DOI10.1142/S179352532150028XMaRDI QIDQ5880381

Tadashi Fujioka

Publication date: 9 March 2023

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.05484

zbMATH Keywords

collapsefibrationAlexandrov spacesstrainersalmost regular maps

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

Application of good coverings to collapsing Alexandrov spaces

Cites Work

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• Stability of \(e^\epsilon\)-Lipschitz and co-Lipschitz maps in Gromov-Hausdorff topology
• Nilpotency, almost nonnegative curvature, and the gradient flow on Alexandrov spaces
• Collapsing and pinching under a lower curvature bound
• The fundamental groups of almost nonnegatively curved manifolds
• Mass of rays in Alexandrov spaces of nonnegative curvature
• Obtuse constants of Alexandrov spaces
• A new proof of almost isometry theorem in Alexandrov geometry with curvature bounded below
• A.D. Alexandrov spaces with curvature bounded below

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