Show that $g$ is continuous
75479
Proving that this function is continuous on $G\times G$
143174
property of continuous function
155923
continuity of $f(x,y)$ in $\mathbb R^2$.
118207
Prove that the product of two continuous functions is continuous
147299
Prove that $g(x,y) = \frac{x^3y}{x^2+y^2}$ with $g(0,0)=0$ is continuous
133422
How to prove the continuity of an induced map; $g_* : C(X, Y) \rightarrow C(X, R)$, induced from the map $g \in C(Y, R)$, endowed with fine topology.
130299
Prove that if a function $f: X\to Y$ continuous then its graph is closed
154559
For each $x\in X$ there exists a neighborhood of x s.t $A\cap U\neq \emptyset$ for only finitely many $A\in\mathcal{A}$. Show that f is continuous.
124444
If $f$ s discontinuous at $x_0$ but $g$ is continuous there, then $f+g$?
40609
Prove that $f(X)$ and $g(Y)$ are independent if $X$ and $Y$ are independent
117502
Proving that a certain continuous function is surjective.
60700
Continuity of a function to the integers
64619
Continuity of a function of product spaces
85175
Continuous Images of $GL_n(\mathbb{R})$
125682
Proof verification: the product of two continuous functions is continuous
15914
Prove that any polynomial function is continuous
46863
Show that $g$ is injective