3 papers
math.AT2026
Bousfield Localizations on the Nonmodular Lattice
SofÃa MartÃnez Alberga, Constanze Roitzheim
We provide a complete description of the model category structures on the nonmodular lattice . Furthermore we explain how these model category structures are related to each o…
math.AT2025
Left and right Bousfield localization on lattices
Andrés Carnero Bravo, Shuchita Goyal, SofÃa MartÃnez Alberga +3
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 coheren…
math.AT2025
Equivariant Homotopy Theory via Simplicial Coalgebras
SofÃa MartÃnez Alberga, Manuel Rivera
Given a commutative ring , a --equivalence is a continuous map of spaces inducing an isomorphism on fundamental groups and an -homology equivalence between universal…