bjornerComplex S
Attributed to Anders Björner, this method returns a shellable abstract simplicial complex which has nonzero homology.







This abstract simplicial complex is CohenMacaulay and shellable.
A shellable abstract simplicial complex $\Delta$ is extendably shellable if any shelling of a subcomplex can be extended to a shelling of $\Delta$. The Björner complex is not extendably shellable.
Our enumeration of the vertices follows the bjorner example in Masahiro Hachimori's simplicial complex library.