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

Printable View

- Nov 1st 2010, 12:47 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, 05:38 AMPlato
With over thirty postings, you should understand that this is not a homework service nor is it a tutorial service. PLease either post some of your own work on this problem or explain what you do not understand about the question.