Ukrainian Mathematical Bulletin

Volume 4, Issue 2, 2007 pp. 181-188.

Disconnected Spaces and the Baire Classification of Mappings of the First Lebesgue Class

Authors: Olena O. Karlova
Author institution: Department of Mathematical Analysis of Yuri Fed'kovich Chernivtsi National University vul. Kotsyubinkii, 2, Chernivtsi 58012, Ukraine mathan@chnu.cv.ua

Summary: We prove that each mapping $f:X\to Y$ of the first functional Lebesgue class belongs to the first Baire class, if $X$ is a weakly ultra-normal space and $Y$ is a metrizable separable space.

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