%0 Journal Article %T Lower Bounds for Cubical Pseudomanifolds %A Steven Klee %J Mathematics %D 2009 %I arXiv %X 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 cubical spheres in higher dimensions. %U http://arxiv.org/abs/0910.0042v2