Bounded G-theory with fibred control
K-Theory and Homology
2020-02-17 v2
Abstract
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. The theory here can be thought of as a "pushout" of the bounded K-theory with fibred control and the controlled G-theory constructed and used by the authors. This paper contains the non-equivariant theory including controlled excision theorems crucial for computations.
Cite
@article{arxiv.1806.08677,
title = {Bounded G-theory with fibred control},
author = {Gunnar Carlsson and Boris Goldfarb},
journal= {arXiv preprint arXiv:1806.08677},
year = {2020}
}
Comments
36 pages, no figures