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A Comparison of Continuously Controlled and Controlled K-theory

Douglas R. Anderson·Francis X. Connolly·Hans J. Munkholm
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Abstract

We define an unreduced version of the e-controlled lower $K$-theoretic groups of Ranicki and Yamasaki, and Quinn. We show that the reduced versions of our groups coincide (in the inverse limit and its first derived, $\lim^1$) with those of Ranicki and Yamasaki. We also relate the controlled groups to the continuously controlled groups of Anderson and Munkholm, and to the Quinn homology groups of Quinn.

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Douglas R. Anderson, Francis X. Connolly, Hans J. Munkholm. 1994-09-16. A Comparison of Continuously Controlled and Controlled K-theory. https://arxiv.org/abs/math/9409211

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