BLC 2010

Games and Structures on aleph_2
Philip Welch
As well as two person infinite games on, say, Baire space, one may look at games building first order structures.. We look at such games, typically with more than order type omega moves but which may not be determined. If there are sufficient indiscernibles sets in the universe, then a player may possibly be seen to have a winning strategy. This can yield results on combinatorial properties at small cardinals, that are more usually observed at larger ones.