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).
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© 1983 Springer Science+Business Media New York
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Smith, K.T. (1983). Extension of Differentiable Functions. In: Primer of Modern Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1144-0_17
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DOI: https://doi.org/10.1007/978-1-4612-1144-0_17
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7021-8
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