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Extension of Differentiable Functions

  • Kennan T. Smith
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Extension problems take the following general form. Let X and Y be metric spaces and let F(X, Y) be a class of functions from X to Y. Let A be a subset of X, and let F(A,Y) be a class of functions from A to Y. The extension problem is to determine whether each function in F(A, Y) has an extension in F(X, Y).

Keywords

Differentiable Function Lipschitz Function Lipschitz Constant Extension Operator Empty Intersection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • Kennan T. Smith
    • 1
  1. 1.Mathematics DepartmentOregon State UniversityCorvallisUSA

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