Complete Boolean algebras are Bousfield lattices
Category Theory
2017-07-21 v2
Abstract
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.
Cite
@article{arxiv.1707.06007,
title = {Complete Boolean algebras are Bousfield lattices},
author = {Greg Stevenson},
journal= {arXiv preprint arXiv:1707.06007},
year = {2017}
}
Comments
10 pages, update to clarify the products occurring in the main construction