Prove that the product $ X = \Pi_{i \in I} X_{i} $ is discrete $\iff$ $I$ is finite
123828
finite and infinite product of discrete space
25553
elementary set theory (cartesian product and symmetric difference proof)
31451
Proving a subring of $\mathbb{Q}$ containing $\mathbb{Z}$ is a PID
61235
Sylow $p$-subgroup of a direct product is product of Sylow $p$-subgroups of factors
106401
Prove: $p-mq | f(m)$ where $m$ is any integer
80180
Discrete and compact subset must be finite
127855
Show that the product of any $m$ consecutive positive integers is divisible by $m!$
147611
Given $P$ idempotent, show that $I-P$ is idempotent.
13398
Prove that the interval $(0, 1)$ and the Cartesian product $(0, 1) \times (0, 1)$ have the same cardinality
154076
How to show this property of $\mathbb{RP}^{n}$.
32795
Proving $ \bigcup_{i=1}^n A_{i} \text{ is finite.} $ by Induction.
24924
Computing an infinite product
145879
$R$ is PID, so $R/I$ is PID, and application on $\mathbb{Z}$ and $\mathbb{N}$
152104
How do I prove that $ij = k?$
14447
Direct proof that $\pi$ is not constructible
13355
Product of elements of a finite abelian group
147920
Infinite powering by $i$