Domains of polyhedral type and boundary extensions of biholomorphisms Dmitri Zaitsev 32H4032D1553A60piecewise smooth domainsanalytic polyhedrafoliationswebs For $D$, $D'$ analytic polyhedra in $\mathbb{C}^n$, it is proven that a bi-holomorphic mapping $f : D \to D'$ extends holomorphically to a dense boundary subset under certain condition of general position. This result is also extended to a more general class of domains with no smoothness condition on the boundary. Indiana University Mathematics Journal 1998 text pdf 10.1512/iumj.1998.47.1551 10.1512/iumj.1998.47.1551 en Indiana Univ. Math. J. 47 (1998) 1511 - 1526 state-of-the-art mathematics http://iumj.org/access/