2010/08/04 by Rezső L. Lovas, Lovas, Rezsö L., István Mező +1 · 1 citation
Mathematics · Computer Science · #Advanced Topology and Set Theory #Mathematical and Theoretical Analysis #Computability, Logic, AI Algorithms
paper · pdf · doi:10.48550/arxiv.1008.0713
We study some interesting properties of Furstenberg's topology of the integers. We show that it is metrizable, totally disconnected, and (Z,+,.) is a topological ring with respect to this topology. As an application, we show that any two disjoint sets of primes can be separated by arithmetic progressions.