Stone Duality
In mathematics, there is an ample supply of categorical dualities between certain categories of topological spaces and categories of partially ordered sets. Today, these dualities are usually collected under the label Stone duality, since they form a natural generalization of Stone's representation theorem for Boolean algebras. These concepts are named in honor of Marshall Stone. Stone-type dualities also provide the foundation for pointless topology and are exploited in theoretical computer science for the study of formal semantics.
This article gives pointers to special cases of Stone duality and explains a very general instance thereof in detail.
Read more about Stone Duality: Overview of Stone-type Dualities, Duality of Sober Spaces and Spatial Locales
Famous quotes containing the word stone:
“They found the stone rolled away from the tomb, but when they went in, they did not find the body.”
—Bible: New Testament, Luke 24:2,3.