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math.KT2024
Scissors automorphism groups I: Homological stability and K-theory
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
In any category with a reasonable notion of cover, each object has a group of scissors automorphisms. We prove that under mild conditions, the homology of this group is independent…
math.AT2024
Partial bases and homological stability of revisited
Calista Bernard, Jeremy Miller, Robin J. Sroka
Let be a unital ring satisfying the invariant basis number property, that every stably free -module is free, and that the complex of partial bases of every finite rank free…