Homotopies of bounded width are almost Lipschitz

DOI10.1016/0166-8641(82)90062-1zbMath0499.55003OpenAlexW2034016290MaRDI QIDQ1171791

Allan Calder, Jerrold Siegel

Publication date: 1982

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90062-1

zbMATH Keywords

Lipschitz homotopyhomotopy distancehomotopies of bounded widthmaps from locally compact, paracompact spaces into compact Riemannian manifoldsuniform homotopy

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Uniform Bounds for Isoperimetric Problems ⋮ Converting uniform homotopies into Lipschitz homotopies via moduli of continuity ⋮ Uniform bounds for equivariant homotopies

Cites Work

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• On the width of homotopies
• On Spaces Having the Homotopy Type of a CW-Complex
• Morse Theory. (AM-51)
• Homotopy and Uniform Homotopy
• CONVEX REGIONS IN THE GEOMETRY OF PATHS—ADDENDUM
• Mapping Theorems for Non-Compact Spaces

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