On scattered convex geometries (Q1686202)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On scattered convex geometries |
scientific article |
Statements
On scattered convex geometries (English)
0 references
21 December 2017
0 references
The authors describe for several types of algebraic closure spaces, satisfying the anti-exchange axiom, when the collection of closed sets is order-scattered in terms of obstructions to the semilattice of compact elements. Furthermore, they give a connection to topological scatteredness.
0 references
convex geometry
0 references
algebraic lattice
0 references
order-scattered poset
0 references
topologically scattered lattice
0 references
lattices of relatively convex sets
0 references
multi-chains
0 references
lattices of subsemilattices
0 references
lattices of suborders
0 references
0 references
