Witte, Nikolaus2018-10-012018-10-0120091615-715Xhttps://depositonce.tu-berlin.de/handle/11303/8233http://dx.doi.org/10.14279/depositonce-7384Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.Izmestiev and Joswig described how to obtain a simplicial covering space (the partial unfolding) of a given simplicial complex, thus obtaining a simplicial branched cover [Adv. Geom. 3:191–255, 2003]. We present a large class of branched covers which can be constructed via the partial unfolding. In particular, for d ≤ 4 every closed oriented PL d-manifold is the partial unfolding of some polytopal d-sphere.en510 MathematikGeometric topologyconstruction of combinatorial manifoldsbranched coversConstructing simplicial branched coversArticle1615-7168