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A Topological Mean Value Theorem for the Plane

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Publication:3983911
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DOI10.2307/2323948zbMath0741.26003OpenAlexW2321171770MaRDI QIDQ3983911

Ira Rosenholtz

Publication date: 27 June 1992

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2323948


zbMATH Keywords

mean-value theoremintermediate value theorem


Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) One-variable calculus (26A06)


Related Items (7)

More on a topological mean value theorem ⋮ Operations with monotone operators and the monotonicity of the resulting operators ⋮ Global injectivity conditions for planar maps ⋮ l’Hôpital’s Rule for Multivariable Functions ⋮ On preimages of a class of generalized monotone operators ⋮ A class of generalized monotone operators ⋮ Degrees of closed curves in the plane







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