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mahler1
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Homework Statement .
Let ##f: (X,d) → (Y,d')## a uniform continuous function, and let ##A, B \subseteq X## non-empty sets such that ##d(A,B)=0##. Prove that ##d'(f(A),f(B))=0##
I've been thinking this exercise but I don't have any idea where to or how to start, could someone give me a hint?
Let ##f: (X,d) → (Y,d')## a uniform continuous function, and let ##A, B \subseteq X## non-empty sets such that ##d(A,B)=0##. Prove that ##d'(f(A),f(B))=0##
I've been thinking this exercise but I don't have any idea where to or how to start, could someone give me a hint?