Friedman numbers have density 1

Sara Friedman

Implementing the Friedman Rule

In cash-in-advance models, necessary and sufficient conditions for the existence of an equilibrium with zero nominal interest rates and Pareto optimal allocations place restrictions only on the very long-run, or asymptotic, behavior of the money supply. When these asymptotic conditions are satisfied, they leave the central bank with a great deal of flexibility to manage the money supply over an...

The Friedman Embedding Theorem

In this paper, we will present an explicit construction of Harvey Friedman which to every finitely generated group G associates a 2-generator subgroup KG 6 Sym(N) such that G embeds into KG and such that if G ∼= H, then KG = KH .

Subdivided graphs have linear ramsey numbers

It is shown that the Ramsey number of any graph with n vertices in which no two vertices of degree at least 3 are adjacent is at most 12n. In particular, the above estimate holds for the Ramsey number of any n-vertex subdivision of an arbitrary graph, provided each edge of the original graph is subdivided at least once. This settles a problem of Burr and Erdös.

On the (−1)-curve conjecture of Friedman and Morgan

We will prove that every differentiably embedded sphere with selfintersection −1 in a simply connected algebraic surface with pg > 0 is homologous to an algebraic class. If the surface has a minimal model with Picard number 1 or |Kmin| contains a smooth irreducible curve of genus at least 2, and pg is even or K 2 min 6≡ 7 (mod 8), then every such sphere is homologous to a (−1)-curve, as conject...