Solution
= Solution
\b[The fixed-point property also fails on the real line.] The <continuous function> $\boxed{f(t)=t+1}$ maps $\mathbb R$ into itself but has no <fixed point>, since $t+1=t$ is impossible.
= Solution
\b[The fixed-point property also fails on the real line.] The <continuous function> $\boxed{f(t)=t+1}$ maps $\mathbb R$ into itself but has no <fixed point>, since $t+1=t$ is impossible.