\(Z_\sigma\)-mappings of \(K\)-analytic spaces (Q1385939)

A mapping \(f:X\to Y\) is called a \(Z_\sigma\)-mapping if the pre-image of every zero-set in \(Y\) is the union of a sequence of zero-sets in \(X\). If \(f:X\to Y\) is a bijection and \(f,f^{-1}\) are \(Z_\sigma\)-mappings, then \(f\) is called a Baire isomorphism of the first level. In this paper the author studies \(Z_\sigma\)-mappings and Baire isomorphisms of the first level of \(K\)-analytic spaces [\textit{G. Choquet}, C. R. Acad. Sci., Paris 232, 2174-2176 (1951; Zbl 0042.05403)].