Piecewise Linearization of Real-Valued Subanalytic Functions
Copyright policy )Piecewise Linearization of Real-Valued Subanalytic Functions
We show that for a subanalytic function f f on a locally compact subanalytic set X X there exists a unique subanalytic triangulation (a simplicial complex K K , a subanalytic homeomorphism π : | K | → X \pi :|K| \to X ) such that f ∘ π | σ , σ ∈ K f \circ \pi {|_\sigma }, \sigma \in K , are linear.
Triangulation and topological properties of semi-analytic and subanalytic sets, and related questions, subanalytic triangulation, piecewise linear, subanalytic function, Semi-analytic sets, subanalytic sets, and generalizations, subanalytic set
Triangulation and topological properties of semi-analytic and subanalytic sets, and related questions, subanalytic triangulation, piecewise linear, subanalytic function, Semi-analytic sets, subanalytic sets, and generalizations, subanalytic set
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