Abstract
Brugesser and Mani proved that the boundary-complex of a convex polytope can be “shelled”. This result lead to McMullen's proof of the “Upper-bound-conjecture”. We show that the “shellability” of complexes has a close connection to the theory of stellar operations. Several results on special shelling procedures and on non-shellable complexes are obtained.
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Kleinschmidt, P. Stellare Abänderungen und Schälbarkeit von Komplexen und Polytopen. J Geom 11, 161–176 (1978). https://doi.org/10.1007/BF01917206
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DOI: https://doi.org/10.1007/BF01917206