Can $[0,1]$ be partitioned into an uncountable union of uncountable sets?
127678
A partition of the unit interval into uncountably many dense uncountable subsets
39956
Union of uncountable cardinals
142144
Countable or uncountable; family of disjoint triangles?
22391
Is the set of all pairs of real numbers uncountable?
3636
Are any two uncountable sets similar to each other?
95947
Cantor set + Cantor set =$[0,2]$
99854
Must an uncountable subset of R have uncountably many accumulation points?
144731
Disjoint closed sets in a second countable zero-dimensional space can be separated by a clopen set
153651
Countable partition in atoms
60424
Uncountable family of uncountable compact subsets of $\mathbb{R}$
124847
Is the set of surjective functions from $\mathbb{N}$ to $\mathbb{N}$ uncountable?
147484
For a set with N members, what is the number of set partitions in which each subset is either of size 1 or 2?
2403
Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
75019
Infinite Cartesian product of countable sets is uncountable
67451
Building a bijection from a finite union of countable sets to $\mathbb{N}$
154474
Image of countable and uncountable sets
80156
Formatting the union of sets