Work

Bounded G-theory with fibred control

Year: 2018

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1806.08677

Authors: Carlsson, Gunnar, Goldfarb, Boris

Institutions: State University of New York, University at Albany, State University of New York, Stanford University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2951802503

Cites: 11

Cited by:

Related to: 20