Bousfield Localizations on the Nonmodular Lattice $N_5$

Fuente: arXiv
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Main Authors: Alberga, Sofía Martínez, Roitzheim, Constanze
Format: Preprint
Published: 2026
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author Alberga, Sofía Martínez
Roitzheim, Constanze
author_facet Alberga, Sofía Martínez
Roitzheim, Constanze
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12744
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Bousfield Localizations on the Nonmodular Lattice $N_5$
Alberga, Sofía Martínez
Roitzheim, Constanze
Algebraic Topology
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.
title Bousfield Localizations on the Nonmodular Lattice $N_5$
topic Algebraic Topology
url https://arxiv.org/abs/2605.12744