Holomorphic inequivalence of some classes of domains in $\mathbf C^n$

This article proves the biholomorphic inequivalence of some classes of domains in $\mathbf C^n$: in particular, bounded pseudoconvex domains with smooth and piecewise smooth (but not smooth) boundaries. It is shown that a proper holomorphic mapping of one strictly pseudoconvex domain onto another is locally biholomorphic.
Bibliography: 20 titles.