Topological representation of posets (Q1802254)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Topological representation of posets |
scientific article; zbMATH DE number 203150
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological representation of posets |
scientific article; zbMATH DE number 203150 |
Statements
Topological representation of posets (English)
0 references
18 July 1993
0 references
There is a canonical imbedding of a poset into a complete Boolean lattice and hence into a Boolean lattice. This gives it a representation set of a Boolean space. In this paper it is proved that there are reflective functors from a category of distributive posets to the subcategories of distributive and Boolean lattices, and consequently there is a topological dual equivalence that extends the Stone duality of Boolean lattices.
0 references
Boolean space
0 references
Boolean lattice
0 references
reflective functors
0 references
topological dual equivalence
0 references
Stone duality
0 references
