Algebraic properties of Bier spheres

Inga Heudtlass, Lukas Katthän

Abstract


We give a classification of flag Bier spheres, as well as descriptions of the first and second Betti numbers of general Bier spheres. Additionally, we compute the Betti numbers for a specific class of Bier spheres, constructed from skeletons of a full simplex.




Keywords


Bier spheres; Alexander dual.

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