Lower Bounds for Cubical Pseudomanifolds
It is verified that the number of vertices in a d-dimensional cubical pseudomanifold is at least 2 (d+1). Using Adin's cubical h-vector, the generalized lower bound conjecture is established for all cubical 4-spheres, as well as for some special classes of cubical spheres in higher dimensions.
cubical complexes f-vectors h-vectors lower bound theorem