Hausdorff convergence and the fundamental group

DOI10.1007/BF02571898zbMath0814.53036MaRDI QIDQ1346344

Wilderich Tuschmann

Publication date: 12 June 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174723

zbMATH Keywords

fundamental groupcurvature boundHausdorff convergent sequence

Mathematics Subject Classification ID

Smooth approximations in differential topology (57R12) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (6)

\(RCD^*(K,N)\) spaces are semi-locally simply connected ⋮ On characterization of smoothness of complex analytic sets ⋮ Describing the universal cover of a compact limit ⋮ Hausdorff convergence and universal covers ⋮ Local topological rigidity of nongeometric 3-manifolds ⋮ Semi-local simple connectedness of non-collapsing Ricci limit spaces

Cites Work

• The existence of a slice
• On a conjecture of Montgomery
• Collapsing Riemannian manifolds to ones of lower dimensions
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