Find examples of two disjoint, non-empty sets A,B s R and a function f: AUB-R such that f|A and f|B are each uniformly continuous but f is not uniformly continuous. (NOTE: f|A and f|B represent f restricted to A and f restricted to B, respectively.)
Find examples of two disjoint, non-empty sets A,B s R and a function f: AUB-R such that f|A and f|B are each uniformly continuous but f is not uniformly continuous. (NOTE: f|A and f|B represent f restricted to A and f restricted to B, respectively.)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...
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