8 citations · 23 across the 15 of their papers we have counts for
16 papers
Some geometric and topological data-driven methods in robot motion path planning
Boris Goldfarb
Motion path planning is an intrinsically geometric problem which is central for design of robot systems. Since the early years of AI, robotics together with computer vision have be…
Merging discrete Morse vector fields: a case of stubborn geometric parallelization
Douglas Lenseth, Boris Goldfarb
We address the basic question in discrete Morse theory of combining discrete gradient fields that are partially defined on subsets of the given complex. This is a well-posed questi…
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…
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…
Excision in equivariant fibred G-theory
Gunnar Carlsson, Boris Goldfarb
This paper provides a generalization of excision theorems in controlled algebra in the context of equivariant G-theory with fibred control and families of bounded actions. It also…
Bounded G-theory with fibred control
Gunnar Carlsson, Boris Goldfarb
We use filtered modules over a Noetherian ring and fibred bounded control on homomorphisms to construct a new kind of controlled algebra with applications in geometric topology. Th…