tinuous. 1) Show that a Lipschitz map between metric spaces is uniformly con-

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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exercise 6 part 1
6
1) Show that a Lipschitz map between metric spaces is uniformly con-
tinuous.
2) Find an example of a continuous map between two metric spaces which is not uniformly
continuous.
Transcribed Image Text:6 1) Show that a Lipschitz map between metric spaces is uniformly con- tinuous. 2) Find an example of a continuous map between two metric spaces which is not uniformly continuous.
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