Joseph Van Name

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20112018

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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…