New posts in Infinite Combinatorics

Existence of a "diagonal" set in certain set systems

Existence of a path in a set of subsets of $\omega$

Choosing subsets of $\mathbb R$ of cardinality $\frak c$, who wins?

Cardinality of the set of functions commuting with $f:X\to X$

On Hamkins' answer to a problem by Michael Hardy

Does the symmetric group on an infinite set have a minimal generating set?