Prove that $G(f)$ is homeomorphic to $X$.
2093
If $f$ is continuous then $G$ is homeomorphic to $X$.
46342
Prove that $G$ is abelian iff $\varphi(g) = g^2$ is a homomorphism
124562
$f:\mathbb{R}^n \to \mathbb{R}$ has expansion $\sum_i g_i(x)x^i$
129081
Proof that convex open sets in $\mathbb{R}^n$ are homeomorphic?
13253
Prove $f(S \cup T) = f(S) \cup f(T)$
107659
Let $f:A \to B$ and $g:B\to A$ be arbitrary functions.
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
95806
Proving commutativity of convolution $(f \ast g)(x) = (g \ast f)(x)$
98816
How to prove that $\{f+g<a\}=\bigcup_{r\in{\Bbb Q}}(\{f<r\}\cap\{g<a-r\})$?
7890
Prove the map $\Phi:G\to\operatorname{Aut}G$ with $g\mapsto (x\mapsto g^{-1}xg)$ is an homomorphism.
85768
The function $f:G \rightarrow G$ defined by $f(x)=x^2$ is a homomorphism iff G is abelian.
135863
Is the graph of a continuous function homeomorphic to its domain?
86537
Prove that an open interval and a closed interval are not homeomorphic
63146
Proof of properties of injective and surjective functions.
111129
Show that $[K:F]_s = [K:L]_s [L:F]_s$ and $[K:F]_i = [K:L]_i [L:F]_i$.
66531
$\|h(x)-h(y)\|\geq 3\|x-y\|$ prove that image of open is open