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On Verdier's specialization formula for Chern classes.

Joseph H.G. Fu — 1991

Mathematische Annalen

Piecewise linear approximation of smooth functions of two variables

Joseph H.G. Fu — 2013

Actes des rencontres du CIRM

The normal cycle of a singular subset $X$ of a smooth manifold is a basic tool for understanding and computing the curvature of $X$ . If $X$ is replaced by a singular function on $ℝ^{n}$ then there is a natural companion notion called the of $f$ , which has been introduced by the author and by R. Jerrard. We discuss a few fundamental facts and open problems about functions $f$ that admit gradient cycles, with particular attention to the first nontrivial dimension $n = 2$ .

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