Том 71
№ 6

All Issues

Vovk M. I.

Articles: 1
Brief Communications (Ukrainian)

Separately $Fσ$-measurable functions are close to functions of the first baire class

Banakh T. O., Vovk M. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2004. - 56, № 4. - pp. 573–576

We prove that a Borel separately $Fσ$-measurable function $f: X \times Y → R$ on the product of Polish spaces is a function of the first Baire class on the complement $X × Y \backslash M$ of a certain projectively meager set $M ⊂ X × Y$.