Math Analysis Question on Continuous Functions
13224
Continuous function positive at a point is positive in a neighborhood of that point
53738
Monotone functions and continuity
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
142459
Continuity of a Function in Terms of Closure and Interior
109942
Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$
141842
Is the convolution of two continuous functions continuous?
60521
Continuity of a convex function
104044
Prove continuous functions $f$ and $g$ are equal
130023
Prove that the sum of two continuous functions is continuous
125682
Proof verification: the product of two continuous functions is continuous
32571
Is the maximum function of a continuous function continuous?
47498
Integration and theorems on continuous functions
51156
Function is Continuous When Restricted to Closed Sets Which Cover the Space
12523
Supremum of a Continuous Function is Continuous
55605
If $f_n(x_n) \to f(x)$ whenever $x_n \to x$, show that $f$ is continuous
130299
Prove that if a function $f: X\to Y$ continuous then its graph is closed
44607
Prove that a continuous function on a closed interval attains a maximum