Hello all,

Let $\displaystyle A$ be a subset of $\displaystyle R^n$ . let $\displaystyle h : (A, a_0) \rightarrow (Y, y_0)$ . show that if $\displaystyle h$ is extendable to a continuous map of $\displaystyle R^n$ into $\displaystyle Y$, then $\displaystyle h_*$ is the zero homomorphism. (the trivial homomorphism that maps everything to the identity element)

thanks