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math.AT2025
Left and right Bousfield localization on lattices
Andrés Carnero Bravo, Shuchita Goyal, Sofía Martínez 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
Characterizing model structures on finite posets
Kristen Mazur, Angélica M. Osorno, Constanze Roitzheim +3
Transfer systems on finite posets have recently been gaining traction as a key ingredient in equivariant homotopy theory. Additionally, they also naturally occur in the data of a m…
math.AT2024
Uniquely compatible transfer systems for cyclic groups of order
Kristen Mazur, Angelica M. Osorno, Constanze Roitzheim +3
Bi-incomplete Tambara functors over a group can be understood in terms of compatible pairs of -transfer systems. In the case of , Hill, Meng and Li gave a nece…