On the general theory of point sets. II (Q1093754)

In the present article we state the most important open problems of the general theory and we indicate to what extent analogies between Baire category and Lebesgue measure are valid for other classifications of sets. Specifically, we enunciate general theorems true of all six primal examples discussed in Part I [Real. Anal. Exch. 9, 345-353 (1984; Zbl 0556.28004)], concerning Baire category, Lebesgue measure, Hausdorff measure, Hausdorff dimension, topological dimension, and Marczewski's classification.