I am completely lost for the following question. Can someone help? If is continuous and A is a bounded subset of , prove that . Is this necessarily true if A is not bounded?
Follow Math Help Forum on Facebook and Google+
What if $\displaystyle A$ is all of $\displaystyle \mathbb{R}^p$? What's $\displaystyle \overline{A}$? What if $\displaystyle F(A)$ is open and not all of $\displaystyle \mathbb{R}^p$?
View Tag Cloud