Prove that there does not exist a sequence $I_n=[a_n,b_n]$ such that $\bigcup_{n}I_n=[0,1]$
36315
Is $[0,1]$ a countable disjoint union of closed sets?
16749
Let $A_i= \left \{...,-2,-1,0,1,...,i \right\}$. Find $\bigcup_{i=1}^{n} A_i$ and $\bigcap_{i=1}^{n} A_i$
94397
Example of a non-splitting exact sequence $0 → M → M\oplus N → N → 0$
107399
A sequence and convergence
111449
Prove there is an increasing sequence ($s_n$) of points in $S$ such that $\lim s_n = \sup S$.
65168
Proof of sequence inequality
45788
$n$-th digit in the sequence of natural numbers
143424
Sequence problem involving inequalities
114315
The sequence 1/(n-1) is apparently unbounded yet convergent. What am I missing here?
154578
Proving there is a sequence convergent to a limit point of a set without axiom of countable choice?
37906
Prove $s_n$ is a Cauchy sequence for $|s_{n+1}-s_n|\lt2^{-n}$
81843
Sequences of sets property
111723
Can it be proven in $\sf ZF^{\neg\infty}$ that the sets $x_n=\{x_{n+1}\}$ do not exist?
123253
Limit of a sequence $a_1=1;a_{n+1}=(n+1)(1+a_n)$
14215
Show that the union $\bigcup A_n$ has empty interior in $X$
27899
Can we prove the existence of $A\cup B$ without the union axiom?
94421
Why $P(A) \cup P(B)$ is not equivalent to $P(A \cup B)$