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Abstract
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This paper provides a generalization of excision theorems in controlled algebra in the context of
equivariant
-theory
with fibred control and families of bounded actions. It also states and proves several
characteristic features of this theory such as existence of the fibred assembly and the
fibrewise trivialization.
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Keywords
controlled $K\mkern-2mu$-theory, controlled excision,
$G$-theory, lax limit, Borel conjecture
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Mathematical Subject Classification 2010
Primary: 18F25, 19D50, 19L47, 55P91
Secondary: 55R91
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Milestones
Received: 21 November 2019
Revised: 17 June 2020
Accepted: 6 July 2020
Published: 26 December 2020
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