Show that any constant function between topological spaces is continuous
48867
why all constant functions are continuous.$?$
132869
Show that any bounded linear functional on a normed linear space is continuous
23845
How to prove the continuity of the metric function?
67948
Why are continuous functions the "right" morphisms between topological spaces?
71001
Do continuous linear functions between Banach spaces extend?
32359
Inner product of two continuous maps is continuous
59519
What about the continuity of these functions in the uniform topology?
131992
A problem on continuous functions
80643
Show that f(x) defined on [0,infinity) R to is continuous at 0.
118207
Prove that the product of two continuous functions is continuous
88586
show that every continuous real-valued function defined on $S_{\mathbb{\Omega}}$ is eventually constant
50103
Show that a continuous function satisfying $f(2^x)=f(3^x)$ for $x\in (0,\infty)$ is a constant function
154572
Continuity of a function at an isolated point
17234
Show that a continuous function has a fixed point
44402
If $\{x:f(x) > a\}$ and $\{x:f(x) < a\}$ are open$\forall~a\in\mathbb{R}$ then f is continuous.
102075
A function continuous on all irrational points
34344
Is a function that maps every compact set to a compact set continuous?