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:
“Here, the churches seemed to shrink away into eroding corners. They seem to have ceased to be essential parts of American life. They no longer give life. It is the huge buildings of commerce and trade which now align the people to attention. These in their massive manner of steel and stone say, Come unto me all ye who labour, and we will give you work.”
—Sean O’Casey (1884–1964)