Joseph Van Name
I am interested in to varying degrees ordered sets, general topology, pointfree topology, Boolean algebras, settheory, universal algebra, and model theory. Most of my previous mathematics research involves dualities that are similar to Stone duality. I am currently interested in using the Booleanvalued approach to forcing to study objects such as Boolean algebras and frames in the ground model (i.e. Booleanvalued pointfree topology). Furthermore, I am also interested in selfdistributive algebras with operations of arbitrary finite arity and their relations with algebras of rankintorank elementary embeddings and other mathematical structures.
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 jvanname
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 125Why do roots of polynomials tend to have absolute value close to 1?
 32Which powers of the closed unit interval are homeomorphic?
 27Which sets occur as boundaries of other sets in topological spaces?
 25Are sums of sequences decidable?
 25Firstorder axiomatization of free groups
 21Connectedness in the language of pathconnectedness
 18Images of $\{0,1\}^\kappa$
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