On a property of continuous functions
5419
Continuous functions with $f^2(x)=g^2(x)\neq 0$
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
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 $\forall\alpha\in\mathbb{R}$
154881
Question on differentiability of a continuous function
99179
Continuous function with compact domain has continuous inverse
120947
continuous real-valued function
55368
$f$ is continuous, if $f_n$ continuous and $f_n\to f$ uniformly
68143
The set of convergent points of a sequence of continuous functions is Borel
147247
Continuous function on closed unit ball
98772
Continuity of a function in $\mathbb{R}$
130023
Prove that the sum of two continuous functions is continuous
22597
Composition of measurable function and continuous function
12003
Cardinality of set of real continuous functions
55605
If $f_n(x_n) \to f(x)$ whenever $x_n \to x$, show that $f$ is continuous
136583
Infimum is a continuous function, compact set
54600
Is a convex and lower semicontinuous function defined on a closed and convex subset of $\mathbb{R}^n$ continuous?
36149
A uniformly continuous function maps bounded set to bounded sets