Decomposition of $\mathbb N$ into mutually disjoint infinite subsets
31969
Partition of N into infinite number of infinite disjoint sets?
18373
Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
24372
Infinite Set is Disjoint Union of Two Infinite Sets
24685
Expressing a Countable Union of Sets as the Countable Union of Disjoint Sets (e.g. Eliminating Duplicate Intersections)
65308
Axiom of Choice: Family of non-empty sets mutually disjoint or not?
21754
Partition a set into subsets of size $k$
132868
Bijection between an infinite set and its union of a countably infinite set
60424
Uncountable family of uncountable compact subsets of $\mathbb{R}$
146664
The union of two linearly independent subsets
44974
Infinite set and countable subsets
113668
Uncountable chain of subsets of $\mathbb N$
158018
Everywhere Super Dense Subset of $\mathbb{R}$
1627
Cartesian product of an arbitrary number of sets
12404
Union of definable sets
146062
A "Cantor-Schroder-Bernstein" theorem for partially-ordered-sets
19414
Uncountable subset with uncountable complement, without the Axiom of Choice
70940
Homework - set theory infinite union