Complete Boolean Algebras are Bousfield Lattices

  • Greg StevensonEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 242)


Given a complete Heyting algebra, we construct an algebraic tensor triangulated category whose Bousfield lattice is the Booleanization of the given Heyting algebra. As a consequence, we deduce that any complete Boolean algebra is the Bousfield lattice of some tensor triangulated category. Using the same ideas, we then give two further examples illustrating some interesting behaviour of the Bousfield lattice.



I am thankful to the referee for their careful reading of the manuscript; they provided several helpful comments which resulted in improvements to the exposition.


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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of GlasgowGlasgowUK

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