Example of a function $f : A \times B \to X$ that isn't continuous but every $f_a : B \to X, f_b : A \to X$ is
64619
Continuity of a function of product spaces
62817
Functions which are Continuous, but not Bicontinuous
69869
if $f$ is continuous on $\mathbb{R}$ and $f(r)=0,r \in \mathbb{Q}$, then $f(x)=0,x \in \mathbb{R}$
30036
Function in $H^1$, but not continuous
2142
Finding a set of continuous functions with a certain property 2
76009
Can a continuous function from the reals to the reals assume each value an even number of times?
145368
How to show $f:Y\to X^{+}$ is continuous?
4679
Nonpiecewise Function Defined at a Point but Not Continuous There
4538
Is the mapping $ d : X\times X \mapsto \mathbb {R} $ continuous?
55605
If $f_n(x_n) \to f(x)$ whenever $x_n \to x$, show that $f$ is continuous
76607
Show that exists a continuous function in $E$ that is not bounded
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
158567
A uniform continuous function which is not Hölder continuous
83326
$f:\mathbb R\to\mathbb R$ continuous function. Which of the following sets can not be image of $(0,1]$ under $f$?
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
118192
Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
41201
How prove there is no continuous functions $f:[0,1]\to \mathbb R$, such that $f(x)+f(x^2)=x$.