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2) Find an example of a continuous map between two metric spaces which is not uniformly continuous.

2) Find an example of a continuous map between two metric spaces which is not uniformly continuous.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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exercise 6 part 2 only
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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