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Levels of algebraicity in stable homotopy theories
Jocelyne Ishak, Constanze Roitzheim, Jordan Williamson
We study several different notions of algebraicity in use in stable homotopy theory and prove implications between them. The relationships between the different meanings of algebra…
math.AT2021
Model structures on finite total orders
Scott Balchin, Kyle Ormsby, Angélica M. Osorno +1
We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics. In the case of a finite total order , we enume…