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math.LO2017
A Remark on a Theorem of Erdos
James H. Schmerl
A theorem of Erdos asserts that every infinite subset of Euclidean n-space R^n has a subset of the same cardinality having no repeated distances. This theorem is generalized here a…
math.LO2017
Cofinal Extensions and Coded Sets
James H. Schmerl
Let M be a model of Peano Arithmetic that is countably generated over an exponentially closed cut I. We characterize those sets X of subsets of I for which there is a finitely (or…