Question on the continuity of a certain kind of evaluation map
Solution 1:
Consider that $$d(\phi_x(f),\phi_x(g)) = d(f(x),g(x))\le \rho(f,g)$$
for all $f,g$.
Question on the continuity of a certain kind of evaluation map
Solution 1:
Consider that $$d(\phi_x(f),\phi_x(g)) = d(f(x),g(x))\le \rho(f,g)$$
for all $f,g$.