A property of continuous functions
126842
Fixed point in a continuous function
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
68143
The set of convergent points of a sequence of continuous functions is Borel
151573
Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
9320
Extension of continuous function on a closed subset of $\mathbb{R}$
74364
Show that function $f$ has a continuous extension to $[a,b]$ iff $f$ is uniformly continuous on $(a,b)$
14896
Prove: the set of zeros of a continuous function is closed.
32571
Is the maximum function of a continuous function continuous?
12349
a construction of a continuous function from a normal space to [0,1]
154881
Question on differentiability of a continuous function
58664
Proving a function is continuous for a fixed variable
113503
Show that exists a not decreasing function that $f:(a,b)\rightarrow \mathbb{R}$ that is continuous only in $(a,b)\setminus D$.
93021
$f:X\longrightarrow\mathbb{R}$ is continuous iff $\{x\in X:f(x)\geq\alpha\}$ and $\{x\in X:f(x)\leq\alpha\}$ are closed $\forall\alpha\in\mathbb{R}$
64619
Continuity of a function of product spaces
151410
Inequality of continuous functions
147247
Continuous function on closed unit ball
44574
Continuity of absolute value of a function