Projective well-orderings and extensions of Lebesgue measure
Counting and convergence in ergodic theory
Borel equivalence and isomorphism of coanalytic sets
CONTENTSIntroduction...............................................................51. Coanalytic sets and admissible ordinals...............72. The hypothesis of constructibility........................123. Ordinal partitions and non-isomorphic sets.........164. Thin non-isomorphic sets....................................195. The hypothesis of projective determinacy...........226. Further results and open questions....................25References.............................................................28...
On the Borel class of the derived set operator
Problem 24 of the "Scottish book'' concerning additive functionals
On the Borel class of the derived set operator. II
Which Bernoulli measures are good measures?
For measures on a Cantor space, the demand that the measure be "good" is a useful homogeneity condition. We examine the question of when a Bernoulli measure on the sequence space for an alphabet of size n is good. Complete answers are given for the n = 2 cases and the rational cases. Partial results are obtained for the general cases.
Some comments on infinite Boolean functions
We introduce infinite Boolean functions and investigate some of their properties.
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