Dimension Preserving Contractions and a Finite List of 3-Irreducible Posets

作者：Streib Noah^*

来源：Order, 2012, 29(1): 165-176.

DOI：10.1007/s11083-011-9204-6

• Poset
• Dimension
• 3-Irreducible
• Contraction

This paper introduces new poset operations-dimension-preserving contractions. These contractions are used to change a poset into a similar, but simpler, poset with the same dimension. In particular, they can be used to turn the well-known infinite list of 3-irreducible posets into seventeen 3-irreducible, noncontractible posets (up to duality).

• 出版日期2012-3