Show that there is a one to one correspondence between $\wp(A)$ and the set of all functions $A \to \{0,1\}$
66610
Finding a correspondence between $\{0,1\}^A$ and $\mathcal P(A)$
91980
Prove that f is one-to-one on D
111129
Show that $[K:F]_s = [K:L]_s [L:F]_s$ and $[K:F]_i = [K:L]_i [L:F]_i$.
111756
How do I prove that then $f(x) = 1$ for some $x ∈ [0, 1]$?
137883
Cardinality of the set of all (real) discontinuous functions
13035
The set of functions which map convergent series to convergent series
15095
continuous onto map from $(0,1)\to (0,1]$
68143
The set of convergent points of a sequence of continuous functions is Borel
92588
Showing that $(C_0([0,\infty)), \|\cdot\|_\infty)$ is complete.
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
128305
$PGL(n, F)=PSL(n, F)$
73850
Cardinality of set of functions
124844
Show that $\phi \circ f$ belongs to $L_p$ for each $f \in L_p$
67848
Let $A$ be the set of all functions $f:\mathbb{R}\to\mathbb{R}$ that satisfy the following two properties.
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
152613
Injection from $\mathbb{N}\to\{0,1\}$ to the set of all monotonic decreasing functions from $\mathbb{N}\to\mathbb{Z}$
112323
Showing that $f = 0 $ a.e. if for any measurable set $E$, $\int_E f = 0$