Real Analysis Exchange
- Real Anal. Exchange
- Volume 22, Number 1 (1996), 167-173.
The Darboux property for gradients
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.
Real Anal. Exchange, Volume 22, Number 1 (1996), 167-173.
First available in Project Euclid: 1 June 2012
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 26B05: Continuity and differentiation questions
Malý, Jan. The Darboux property for gradients. Real Anal. Exchange 22 (1996), no. 1, 167--173. https://projecteuclid.org/euclid.rae/1338515211