Ideals and powers of cardinals
Karel Prikry · Bulletin of the American Mathematical Society · 1975
We obtain results concerning the behaviour of the function 2 Wtt (a G On) under the assumption of the existence of certain kind of ideals.These results complement those of Ulam [7], Tarski [6] and Solovay [4] and [5].In particular, it follows that if 2 W is real-valued measurable, then 2 V = 2^ for all infinite v<2".We assume some familiarity with [4] and [5].a, j3, 7, 6,77, £, p (K, X, v, r) denote ordinals (inf.cardinals), f g, h denote functions; F denotes families of functions or sets.We use the Erdös-Hajnal notation