具有离散控制的有界G-理论
Bounded G-theory with fibred control
摘要：
利用诺特环上的滤子模和同态上的有界控制，构造了一类新的控制代数，并将其应用于几何拓扑中.本文的理论可以看作是作者所构造和使用的带可调控制的有界K-理论和受控G-理论的“推广”。本文包含非等变理论，包括控制切除定理的计算至关重要。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
