On sets of critical values in the real line

DOI10.1215/S0012-7094-96-08313-1zbMath0877.58008MaRDI QIDQ1918381

S. M. Bates, Alec Norton

Publication date: 26 November 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

critical valuesreal functions

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (6)

The geometry of Whitney's critical sets ⋮ Constructing Whitney sets via IFS with condensation ⋮ SMALLNESS OF THE SET OF CRITICAL VALUES OF DISTANCE FUNCTIONS IN TWO‐DIMENSIONAL EUCLIDEAN AND RIEMANNIAN SPACES ⋮ Galerkin's method, monotonicity and linking for indefinite Hamiltonian systems with bounded potential energy ⋮ Angels' staircases, Sturmian sequences, and trajectories on homothety surfaces ⋮ On the regularity of timelike extremal surfaces

Cites Work

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• The Zygmund Morse-Sard theorem
• The geometry of critical and near-critical values of differentiable mappings
• Differential Topology
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure

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