prove that if f:X->Y is continuous and if S is a subspace of X, then the restriction f|s: S->Y is continuous.

how would i go about doing this problem? can i create a mapping from S to X, then say S is open and use the fact that f is continuous?

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- May 25th 2008, 11:17 PMsquarerootof2continuity in topological spaces
prove that if f:X->Y is continuous and if S is a subspace of X, then the restriction f|s: S->Y is continuous.

how would i go about doing this problem? can i create a mapping from S to X, then say S is open and use the fact that f is continuous? - May 26th 2008, 02:12 AMOpalg