Finding an independent set given partition of a cycle - Lovasz Local Lemma (Alon, Spencer)
45193
prove or supply counter example about graph
127678
A partition of the unit interval into uncountably many dense uncountable subsets
72440
Partition a set into $k$ non-empty subsets
150385
The use of the Axiom of Choice in this proof of the sequence lemma
61281
Finding maximal sublist of linearly independent vectors
144362
The construction of a Vitali set
71990
Prove there always exists a partition such that vertices in each part have even degree
155799
What would be an example of free module such that cardinality of linearly independent set is greater than the rank?
9158
Proving that a propositional theory of any cardinality has an independent set of axioms
19856
Prove that a subset of a separable set is itself separable
139826
arbitrary large finite sums of an uncountable set.
60007
Partitions with at most k parts, each of at most l
123626
Prove that even $n$ can be partitioned to $\frac n2$ edges
68172
Erdős-Straus conjecture
101179
Partition of a set and Hall's theorem
91777
Product of Non-Disjoint Cycles
24050
Characterization of the Closure of a Set