A characterization of ordered sets and lattices via betweenness relations
From MaRDI portal
Publication:1773439
DOI10.1007/BF03322885zbMath1084.06002MaRDI QIDQ1773439
Nico Düvelmeyer, Walter Wenzel
Publication date: 29 April 2005
Published in: Results in Mathematics (Search for Journal in Brave)
Partial orders, general (06A06) Combinatorics of partially ordered sets (06A07) Structure theory of lattices (06B05) Varieties of lattices (06B20) Galois correspondences, closure operators (in relation to ordered sets) (06A15)
Related Items (7)
Betweenness relations in a categorical setting ⋮ Fuzzy compatibility relations and pseudo-monometrics: some correspondences ⋮ On setwise betweenness ⋮ Topologies induced by the representation of a betweenness relation as a family of order relations ⋮ The axiomatics of ordered geometry: I. Ordered incidence spaces ⋮ Fuzzy betweenness relations and their connection with fuzzy order relations ⋮ Some betweenness relation topologies induced by simplicial complexes
Cites Work
- Unnamed Item
- Zur Axiomatik der teilweise geordneten Mengen
- Relations related to betweenness: their structure and automorphisms
- Betweenness relations and cycle-free partial orders
- On some ternary relations in lattices
- A Characterization of the Lattice Orderings on a Set which Induce a given Betweenness
- Applications of transitivities of betweenness in lattice theory
- Transitivities of Betweenness
This page was built for publication: A characterization of ordered sets and lattices via betweenness relations
