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Generic altitude functions
by
Judy Kennedy
University of Delaware
Coauthors: Barry Peratt
Suppose F denotes the collection of continuously differentiable functions from Euclidean n-space to the reals (where n is a fixed positive integer). If K denotes a compact neighborhood of n-space, let F(K) denote those functions f in F such that K contains a point p at which the derivative is 0, i.e., Df(p)=0. We discuss our results concerning the properties of the residual subsets of F(K).
Date received: February 11, 1998
Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caas-57.