An application of the Helly property to the partially ordered sets

DOI10.1016/0097-3165(83)90006-7zbMath0515.06005OpenAlexW1991369027MaRDI QIDQ1051660

Alain Quilliot

Publication date: 1983

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(83)90006-7

zbMATH Keywords

partially ordered setHelly propertybowls of connected graphhomomorphism extension

Mathematics Subject Classification ID

Partial orders, general (06A06)

Related Items

General metrics and contracting operations, Holes in ordered sets, \(\kappa\)-embeddings of ordered sets, Une extension d'un théorème de P. Jullien sur les âges de mots, Unnamed Item, Remarks on cone metric spaces and fixed point theorems of contractive mappings, On the extension of vertex maps to graph homomorphisms, KKM mappings in metric type spaces, A fixed point theorem for commuting families of relational homomorphisms. Applications to metric spaces, ordered sets and oriented graphs, Free monoids and generalized metric spaces, Some complexity bounds for subtype inequalities, A syntactic approach to the MacNeille completion of \(\Lambda^\ast\), the free monoid over an ordered alphabet \(\Lambda\), Algorithms for the fixed point property, On the Additivity of the Minkowski Functionals, Injective envelope of graphs and transition systems, Clones, order varieties, near unanimity functions and holes

Cites Work

• Unnamed Item
• Unnamed Item
• A structure theory for ordered sets
• A fixed point theorem for finite partially orderes sets
• Fixed-edge theorem for graphs with loops
• Fixed points in partially ordered sets