caa a22 4500 469075384 CHVBK 20180323132933.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF02187837 doi (NATIONALLICENCE)springer-10.1007/BF02187837 Goossens Pierre Institut de Mathématique, Avenue des Tilleuls, 15, B-4000, Liège, Belgique aut Shelling pseudopolyhedra [Elektronische Daten] [Pierre Goossens] The notion of shellability originated in the context of polyhedral complexes and combinatorial topology. An abstraction of this concept for graded posets (i.e., graded partially ordered sets) was recently introduced by Björner and Wachs first in the finite case [1] and then with Walker in the infinite case [11]. Many posets arising in combinatorics and in convex geometry were investigated and some proved to be shellable. A key achievement was the proof by Bruggesser and Mani that boundary complexes of convex polytopes are shellable [4]. We extend here the result of Bruggesser and Mani to polyhedral complexes arising as boundary complexes of more general convex sets, called pseudopolyhedra, with suitable asymptotic behavior. This includes a previous result on tilings of a Euclidean space ℝ d which are projections of the boundary of a (d+1)-pseudopolyhedron [7]. Springer-Verlag New York Inc., 1992 Discrete & Computational Geometry Springer New York 7/2(1992-02-01), 207-215 0179-5376 7:2<207 1992 7 454 https://doi.org/10.1007/BF02187837 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02187837 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Goossens Pierre Institut de Mathématique, Avenue des Tilleuls, 15, B-4000, Liège, Belgique aut NATIONALLICENCE 773 0- Discrete & Computational Geometry Springer New York 7/2(1992-02-01), 207-215 0179-5376 7:2<207 1992 7 454 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer