Why $\omega<2^{\omega}$ but $\omega^{\omega}\sim\omega$?
43598
Do $\omega^\omega=2^{\aleph_0}=\aleph_1$?
2342
How does equality $\mathfrak{m}^\mathfrak{m} = 2^\mathfrak{m}$ in $\sf{ZF}$ relate to the axiom of choice?
42849
Is it true that $\omega=\{0,1,2,3,\ldots\}$ in ZFC?
28500
What are the components and path components of $\mathbb{R}^{\omega}$ in the product, uniform, and box topologies?
97053
To prove $\omega_1 \cup \{\omega_1\} $ is not first countable but $\omega_1$ is
13620
$\omega_2$ is a not countable union of countable sets without AC
52750
Prove that $f^\ast\omega=\det f \cdot \omega$
109223
For ordinals $\delta$ and $\beta$, if $\delta\in$ or $=\beta$, then there exists $\gamma\in$ or $=\beta$ such that $\beta=\delta+\gamma$
81890
What does $2^{\mathbb R}$ mean?
125966
Why there's a finite $\Gamma '$ such that $\Gamma ' \vDash \varphi$?
86623
Why is $B^TB+\lambda\Omega$ positive definite?
71076
Why does the beta distribution become U shaped when $\alpha$ and $\beta$ <1?
56143
Proof of a basic $AC_\omega$ equivalence
135524
Is $\mathrm{ZFC}^E$ outright inconsistent?
9246
Calculating $\prod (\omega^j - \omega^k)$ where $\omega^n=1$.
139151
How to prove $\left\{ \omega|X(\omega)=Y(\omega)\right\} \in\mathcal{F}$ is measurable, if $X$ and $Y$ are measurable?
157599
what is the meaning of $F_\sigma$ and $G_\delta?$