Joseph Van Name

collaborators

3 papers

math.GN2012

A Duality Between Non-Archimedean Uniform Spaces and Subdirect Powers of Full Clones

Joseph Van Name

A uniform space is said to be non-Archimedean if it is generated by equivalence relations. If $λ$ is a cardinal, then a non-Archimedean uniform space $(X, U)$ is $λ$ -total…

math.LO2012

Constructing Ultrapowers from Elementary Extensions of Full Clones

Joseph Van Name

Let $A$ be an infinite set. Let $Ω (A)$ be the algebra over $A$ where every constant is a fundamental constant and every finitary function is a fundamental operation. We shall give…

math.GN2011

Duality Between Uniform Spaces and Boolean Algebras

Joseph Van Name

In this note we shall generalize the Stone duality between compact totally disconnected spaces and Boolean algebras to a duality between all complete non-Archimedean uniform spaces…