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Sektion 9
Montag, 18.09.2000, 15.00–15.20 Uhr, WIL C 133

Linear semi-openness and the Lyusternik theorem

Heidrun Pühl, Martin-Luther-Universität Halle-Wittenberg

Winfried Schirotzek, Technische Universität Dresden

A class of set-valued mappings called linearly semi-open mappings is introduced which properly contains the class of set-valued mappings that are open at a linear rate. It is shown that continuous piecewise linear functions on Rn are linearly semi-open under some algebraic condition. The main result is a Lyusternik type theorem for linearly semi-open mappings.