Edgewise Cohen-Macaulay connectivity of partially ordered sets


  • Christos A. Athanasiadis
  • Myrto Kallipoliti




The proper parts of face lattices of convex polytopes are shown to satisfy a strong form of the Cohen-Macaulay property, namely that removing from their Hasse diagram all edges in any closed interval results in a Cohen-Macaulay poset of the same rank. A corresponding notion of edgewise Cohen-Macaulay connectivity for partially ordered sets is investigated. Examples and open questions are discussed.


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How to Cite

Athanasiadis, C. A., & Kallipoliti, M. (2018). Edgewise Cohen-Macaulay connectivity of partially ordered sets. MATHEMATICA SCANDINAVICA, 122(1), 5–17. https://doi.org/10.7146/math.scand.a-97270