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We introduce the class Σk(d) of k-stellated (combinatorial) spheres of dimension d (0 ≤ k ≤ d+1) and compare and contrast it with the class Sk(d) (0 ≤ k ≤ d) of k-stacked homology d-spheres. We have Σ1(d) = S1(d), and Σk(d) ⊆ Sk(d) for d ≥ 2k− 1. However, for each k ≥ 2 there are k-stacked spheres which are not k-stellated. For d ≤ 2k− 2, the existence of k-stellated spheres which are not k-sta...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2013
ISSN: 0012-365X
DOI: 10.1016/j.disc.2013.06.010