In earlier papers the author has
formulated an axiomatic foundation for a general theory of point sets, one of whose
purposes is the unification of analogous theorems concerning Baire category and
Lebesgue measure. Within this context, a method is given in the present paper for
unifying the Baire property in the restricted sense and absolute measurability on the
real line.
That absolute measurability is the appropriate measure-theoretic analogue of the
Baire property in the restricted sense was suggested by E. Marczewski in a classical
paper in 1937, after he had established the Baire property (in the wide sense) and
Lebesgue measurability as analogous concepts.
