Prove that the identity map is continuous
130916
Proving the identity functions is continuous iff $\tau_1\supseteq\tau_2$
32359
Inner product of two continuous maps is continuous
53627
Proving continuity of $f$
13257
How to prove this problem about uniform continuity
149999
fixed point of a continuous map on a projective space
16338
3rd iterate of a continuous function equals identity function
77944
Injective functions with intermediate-value property are continuous. Better proof?
153952
A map between metric spaces preserving convergent sequences is continuous
149354
Proof of continuity $f(x+y) = f(x) + f(y)$
15914
Prove that any polynomial function is continuous
100740
proof of that a continuous function has a fixed point
154837
mapping properties of $(1−z)^i$
72044
prove $x \mapsto x^2$ is continuous
150554
proof that $f'$ is continuous at $a$
23845
How to prove the continuity of the metric function?
28925
Can the Identity Map be a repeated composition one other function?
154259
Countinuity of the identity map between different topologies