Lower Bounds for Cubical Pseudomanifolds
classification
🧮 math.CO
keywords
cubicallowerspheresadinboundboundsclassesconjecture
read the original abstract
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.
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