An endomorphism $f$ such that $f\circ f=1$
32575
What's the name for the property of a function $f$ that means $f(f(x))=x$?
21178
Show that $f$ extends to a smooth map.
27746
Autohomeomorphism of the unit disk which is constant on the boundary, and which takes 0 to a prescribed point
109498
Linear maps $f: M_n \longrightarrow \mathbb{R}$ such that $f(AB) = f(BA)$
10024
How to prove $(f \circ\ g) ^{-1} = g^{-1} \circ\ f^{-1}$? (inverse of composition)
72251
$g\circ f$ is Surjective and $g$ is Injective then Prove that $f$ is surjective
27757
$\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
132013
How do I show that if $f : [0,1] \to [0,1]$ is continuous, then there is some $c$ such that $f(c) = c$?
61640
Prove c exists for f:[0,1] -> R
50012
$f: [a,b] \to \mathbb{R}$, $f(a) = f(b)$. Show $\exists c \in [a, \frac{a+b}{2} ]$ with $f(c)=f(c+\frac{b-a}{2})$
97608
Showing a Ring of endomorphisms is isomorphic to a Ring
6227
Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
126065
Example $g\circ f=id_A$ but $f\circ g\neq id_B$
144521
Why does Möbius transformation $f(z)$ map the unit disk $|z|<1$ to itself?
70912
If $g\circ f$ is injective and $f$ is surjective then $g$ is injective
101778
Show that there is $\eta\in(0,1)$ with $f''(\eta)=f(\eta)$
90649
Consider $f(x)=mx$ and $g(x) =bx$ in which $m>0$ and $b>0$. Does there exist any homeomorphism $h$ such that $h \circ f$ = $g \circ h$