On the topology of weakly and strongly separated set complexes
نویسندگان
چکیده
منابع مشابه
On the Topology of Weakly and Strongly Separated Set Complexes
We examine the topology of the clique complexes of the graphs of weakly and strongly separated subsets of the set [n] = {1, 2, . . . , n}, which, after deleting all cone points, we denote by ∆̂ws(n) and ∆̂ss(n), respectively. In particular, we find that ∆̂ws(n) is contractible for n ≥ 4, while ∆̂ss(n) is homotopy equivalent to a sphere of dimension n− 3. We also show that our homotopy equivalences ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2013
ISSN: 0166-8641
DOI: 10.1016/j.topol.2012.11.009