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1996/1997 The Darboux property for gradients
Jan Malý
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Real Anal. Exchange 22(1): 167-173 (1996/1997).

Abstract

It is well known that the derivative of a function of one variable has the Darboux property. In this paper it is shown that the gradient of a differentiable function of several variables maps certain closed convex sets to connected sets.

Citation

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Jan Malý. "The Darboux property for gradients." Real Anal. Exchange 22 (1) 167 - 173, 1996/1997.

Information

Published: 1996/1997
First available in Project Euclid: 1 June 2012

zbMATH: 0879.26042
MathSciNet: MR1433604

Subjects:
Primary: 26B05

Keywords: Darboux property , differentiable , gradient

Rights: Copyright © 1996 Michigan State University Press

Vol.22 • No. 1 • 1996/1997
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