This paper is a contribution to the problem of characterizing the K 0 -categorical Stone algebras. If the dense set is either finite or a chain, the problem is solved by reducing it to the Ko-categoricity of the skeleton and the dense set, solutions for these being known. If the dense set is a Boolean algebra, we show that this type of reduction works for certain subclasses but not for all such algebras. For generalized Post algebras the characterization problem is solved completely. Subject

more »

... ssification (Amer. Math. Soc. (A/OS) 1970): primary 02 G 20; secondary 02 H 15, 08 A 05.