4 papers
Generalizations of Laver tables
Joseph Van Name
We shall generalize the notion of a Laver table to algebras which may have many generators, several fundamental operations, fundamental operations of arity higher than 2, and to al…
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 is a cardinal, then a non-Archimedean uniform space is -total…
Constructing Ultrapowers from Elementary Extensions of Full Clones
Joseph Van Name
Let be an infinite set. Let be the algebra over where every constant is a fundamental constant and every finitary function is a fundamental operation. We shall give…
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…