Topological representation of posets |
| |
Authors: | Elias David |
| |
Affiliation: | (1) London, England |
| |
Abstract: | There is a canonical imbedding of a poset into a complete Boolean lattice and hence into a Boolean lattice. This gives it a representation as a collection of clopen sets of a Boolean space. There are reflective functions from a category of distributive posets to the subcategories of distributive and Boolean lattices and consequently a topological dual equivalence that extends the Stone duality of Boolean lattices.Presented by B. Jonsson. |
| |
Keywords: | 06A99 06E15 |
本文献已被 SpringerLink 等数据库收录! |
|