Abstract
An finite interval order is a partially ordered set whose elements are in correspondence with a finite set of intervals in the line, with disjoint intervals being ordered by their relative position. We show that any such order is shellable in the sense that its (not necessarily pure) order complex is shellable.
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Billera, L.J., Myers, A.N. Shellability of Interval Orders. Order 15, 113–117 (1998). https://doi.org/10.1023/A:1006196114698
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DOI: https://doi.org/10.1023/A:1006196114698