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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer