General lexicographic shellability and orbit arrangements

@article{Kozlov1997GeneralLS,
  title={General lexicographic shellability and orbit arrangements},
  author={Dmitry N. Kozlov},
  journal={Annals of Combinatorics},
  year={1997},
  volume={1},
  pages={67-90}
}
We introduce a new poset property which we call EC-shellability. It is more general than the more established concept of EL-shellability, but it still implies shellability. Because of Theorem 3.10, EC-shellability is entitled to be called general lexicographic shellability.As an application of our new concept, we prove that intersection lattices Πλ of orbit arrangementsAλ are EC-shellable for a very large class of partitions λ. This allows us to compute the topology of the link and the… CONTINUE READING

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