Piecewise linearization of real-valued subanalytic functions
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- by Masahiro Shiota PDF
- Trans. Amer. Math. Soc. 312 (1989), 663-679 Request permission
Abstract:
We show that for a subanalytic function $f$ on a locally compact subanalytic set $X$ there exists a unique subanalytic triangulation (a simplicial complex $K$, a subanalytic homeomorphism $\pi :|K| \to X$) such that $f \circ \pi {|_\sigma }, \sigma \in K$, are linear.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 312 (1989), 663-679
- MSC: Primary 32B25; Secondary 32B20
- DOI: https://doi.org/10.1090/S0002-9947-1989-0958902-3
- MathSciNet review: 958902