Let (X, d_x), (Y, d_y), (Z,d_z) be metric spaces

1. Let f: x -> Y be lipschitz continuous. show that f is continuous

2. assume that f: x -> Y and g: Y -> Z are continuous. prove that the composition mapping gf : X-> Z is continuous

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- Nov 1st 2010, 01:47 AMGodisgoodLipschitz continuous
Let (X, d_x), (Y, d_y), (Z,d_z) be metric spaces

1. Let f: x -> Y be lipschitz continuous. show that f is continuous

2. assume that f: x -> Y and g: Y -> Z are continuous. prove that the composition mapping gf : X-> Z is continuous - Nov 1st 2010, 06:38 AMPlato
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