3 papers
math.KT2020
Asymptotic transfer maps in parametrized K-theory
Gunnar Carlsson, Boris Goldfarb
We define asymptotic transfers in bounded K-theory together with a context where this can be done in great generality. Controlled algebra plays a central role in many advances in g…
math.KT2020
Colimit theorems for coarse coherence with applications
Boris Goldfarb, Jonathan L. Grossman
We establish two versions of a central theorem, the Family Colimit Theorem, for the coarse coherence property of metric spaces. This is a coarse geometric property and so is well-d…
math.KT2014
Controlled algebraic G-theory, II
Boris Goldfarb, Timothy K. Lance
There are two established ways to introduce geometric control in the category of free modules---the bounded control and the continuous control at infinity. Both types of control ca…