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?
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?