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arXiv · 2511.07952

Left and right Bousfield localization on lattices

Andrés Carnero Bravo·Shuchita Goyal·Sofía Martínez Alberga·Cherry Ng·Constanze Roitzheim·Daniel Tolosa
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Abstract

The key information of a model category structure on a poset is encoded in a transfer system, which is a combinatorial gadget, originally introduced to investigate homotopy coherence structures in equivariant homotopy theory. We describe how a transfer system associated with in a model structure on a lattice is affected by left and right Bousfield localization and provide a minimal generating system of morphisms which are responsible for the change in model structure. This leads to new concrete insights into the behavior of model categories on posets in general.

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Andrés Carnero Bravo, Shuchita Goyal, Sofía Martínez Alberga, Cherry Ng, Constanze Roitzheim, Daniel Tolosa. 2025-11-11. Left and right Bousfield localization on lattices. https://arxiv.org/abs/2511.07952

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