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arXiv · 2605.12744

Bousfield Localizations on the Nonmodular Lattice $N_5$

Sofía Martínez Alberga·Constanze Roitzheim
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Abstract

We provide a complete description of the model category structures on the nonmodular lattice $N_5$. Furthermore we explain how these model category structures are related to each other via Bousfield localization. This work heavily relies on the use of combinatorical objects from equivariant homotopy theory known as \emph{transfer systems}, and it results in a wealth of interesting interactions between combinatorial and homotopical methods.

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Sofía Martínez Alberga, Constanze Roitzheim. 2026-05-12. Bousfield Localizations on the Nonmodular Lattice $N_5$. https://arxiv.org/abs/2605.12744

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