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6 papers · 1 filter
Lowness notions, measure and domination
Bjørn Kjos-Hanssen, Joseph S. Miller, Reed Solomon
We show that positive measure domination implies uniform almost everywhere domination and that this proof translates into a proof in the subsystem WWKL (but not in RCA) of…
On a conjecture of Dobrinen and Simpson concerning almost everywhere domination
Stephen Binns, Bjørn Kjos-Hanssen, Manuel Lerman +1
The notions of almost everywhere (a.e.) domination and its uniform version were introduced and studied in reverse mathematics. This paper studies these notions from a recursion-the…
Comparing DNR and WWKL
Klaus Ambos-Spies, Bjørn Kjos-Hanssen, Steffen Lempp +1
In Reverse Mathematics, the axiom system DNR, asserting the existence of diagonally non-recursive functions, is strictly weaker than WWKL (weak weak König's Lemma).
Snake graph calculus and cluster algebras from surfaces II: Self-crossing snake graphs
Ilke Canakci, Ralf Schiffler
Snake graphs appear naturally in the theory of cluster algebras. For cluster algebras from surfaces, each cluster variable is given by a formula which is parametrized by the perfec…
Thick-thin decomposition for quadratic differentials
Kasra Rafi
We compare the flat geometry associated to a quadratic differential with the hyperbolic geometry associated to the underlying Riemann surface. We show that if a curve is contained…
Top-stable degenerations of finite dimensional representations II
H. Derksen, B. Huisgen-Zimmermann, J. Weyman
Let be a finite dimensional algebra over an algebraically closed field. We exhibit slices of the representation theory of that are always classifiable in stringent geometri…