A note on Dilworth's theorem in the infinite case

DOI10.1007/BF00337691zbMath0629.06002MaRDI QIDQ1093655

Uri Abraham

Publication date: 1987

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

lengththeorem of Dilworthunion of countably many chainswell-founded poset of antichains

Mathematics Subject Classification ID

Partial orders, general (06A06) Ordinal and cardinal numbers (03E10)

Related Items

Height of a superposition ⋮ The chain covering number of a poset with no infinite antichains ⋮ On Ordinal Invariants in Well Quasi Orders and Finite Antichain Orders ⋮ Jónsson posets ⋮ The Length of Noetherian Polynomial Rings

Cites Work

• A proof of Dilworth's decomposition theorem for partially ordered sets
• On Dilworth's theorem in the infinite case
• A decomposition theorem for partially ordered sets
• The Cofinality of a Partially Ordered Set
• Partially Ordered Sets
• Arithmetic of ordinals with applications to the theory of ordered Abelian groups
• Unnamed Item