Vitalij Chatyrko,
Yasunao Hattori
(2008)
Bulletin of the Polish Academy of Sciences. Mathematics
For each ordinal 1 ≤ α < ω₁ we present separable metrizable spaces , and such that
(i) , where f is either trdef or ₀-trsur,
(ii) and ,
(iii) and , and
(iv) and .
We also show that there exists no separable metrizable space with , and , where A(α) (resp. M(α)) is the absolutely additive (resp. multiplicative) Borel class.