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Journal of Convex Analysis 11 (2004), No. 2, 387--390
Copyright Heldermann Verlag 2004

On the Representation Property of Kernels of Quasidifferentials


J. Grzybowski
Faculty of Mathematics and Computer Science, Adam-Mickiewicz-University, Umultowska 87, 61-614 Poznan, Poland, jgrz@amu.edu.pl

R. Urbanski
Faculty of Mathematics and Computer Science, Adam-Mickiewicz-University, Umultowska 87, 61-614 Poznan, Poland, rich@amu.edu.pl

The conjecture that the kernel of each quasidifferential always represents this quasidifferential is proved false in R3.

Keywords: Quasidifferential calculus, minimal pair of compact convex sets.

MSC 1991: 52A20, 90C30.

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