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arXiv · 1806.08677

Bounded G-theory with fibred control

Gunnar Carlsson·Boris Goldfarb
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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.

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Gunnar Carlsson, Boris Goldfarb. 2018-06-20. Bounded G-theory with fibred control. https://arxiv.org/abs/1806.08677

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