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math.KT2024
A criterion for slope 1 homological stability
Mikala Ørsnes Jansen, Jeremy Miller
We show that for nice enough -graded -algebras, a diagonal vanishing line in -homology of gives rise to slope homological stability. Thi…
math.KT2024
Unstable algebraic K-theory: homological stability and other observations
Mikala Ørsnes Jansen
We investigate stability properties of the reductive Borel-Serre categories; these were introduced as a model for unstable algebraic K-theory in previous work. We see that they exh…