show that every continuous group law $∗$ on an open interval I has the form $x∗y = f(f^{-1} (x)+f^{ −1} (y))$ for some homeomorphism
61226
Group Structure on $\Bbb R$
100740
proof of that a continuous function has a fixed point
143800
continuous map on $\mathbb{R}$ which is the identity on $\mathbb{Q}$ is the identity map, hence Aut$(\mathbb{R}/\mathbb{Q})= 1.$
156727
A step in the proof of Characterization of $W^{1,\infty}$
15095
continuous onto map from $(0,1)\to (0,1]$
73571
Proof of Cauchy's Theorem for abelian groups
40209
$f : S^1 \to\mathbb R$ is continuous then $f(x)=f(-x)$ for some $x\in S^1$
27629
How to prove that $S^{2n+1}/S^1$ is homeomorphic to $\mathbb CP^n$ under a given identification
134575
Show that the mapping $f → f~'$ from $C^1([0 , 1])$ to $C([0 , 1])$ is not continuous.
150770
Why is $f^n(\xi(x))$ continuous over $x$?
150554
proof that $f'$ is continuous at $a$
30178
Homeomorphism $(\mathbb{CP}^1)^m/S_m \overset{\sim}{\to} \mathbb{CP}^m$?
117897
A homomorphism induces a continuous map from ${\rm Spec}(A') \to {\rm Spec}(A)$.
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
129943
Torsion on $\pi_1(X)$, $X$ connected and open in $\mathbb{R}^n$
98282
Prove that the function $\xi\in R \mapsto {e^{i\cdot \xi\cdot λ}-1\over i\cdot \xi}-λ$ is $C^{\infty}$