Lower Bounds for Cubical Pseudomanifolds

Steven Klee

Lower Bounds for Cubical Pseudomanifolds

Combinatorics 2011-04-05 v2

Authors: Steven Klee

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.

Keywords

sphere packings and spherical designs cubic fourfolds set theory and dimension theory

Cite

@article{arxiv.0910.0042,
  title  = {Lower Bounds for Cubical Pseudomanifolds},
  author = {Steven Klee},
  journal= {arXiv preprint arXiv:0910.0042},
  year   = {2011}
}

Comments

14 pages

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