Order and interval topologies on complete Boolean algebras

2016/10/27 by Dominic van der Zypen, van der Zypen, Dominic
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topology and Set Theory #Constraint Satisfaction and Optimization

paper · pdf · doi:10.48550/arxiv.1612.04652

Abstract

We introduce and examine order convergence and the interval topology on partially ordered sets in general. Problem 76 of Birkhoff's "Lattice Theory" asks whether for complete Boolean algebras the order topology and the interval topology coincide. We answer this question in the negative.

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