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math.KT2023★ 3 cited
Algebraic -theory for squares categories
Jonathan Campbell, Josefien Kuijper, Mona Merling +1
In this paper we introduce a new formalism for -theory, called squares -theory. This formalism allows us to simultaneously generalize the usual three-term relation $[B] = [A]…
math.KT2023
A trace map on higher scissors congruence groups
Anna Marie Bohmann, Teena Gerhardt, Cary Malkiewich +2
Cut-and-paste -theory has recently emerged as an important variant of higher algebraic -theory. However, many of the powerful tools used to study classical higher algebraic $…