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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
5
votes
Is an Eulerian lattice shellable?
I think that the answer to your question ought to be "not always".
There are examples of non-shellable balls and spheres. A very readable account of these, together with some of the history, can b …
1
vote
Presentation of the Rybnikov matroid
Since this is still open, I'll describe how to find an answer.
You have a presentation of the matroid as an arrangement of hyperplanes. Now trace through the 'cryptomorphisms' described in the Wikip …