A Comparison of Continuously Controlled and Controlled K-theory

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 grou...

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Bibliographic Details
Published in:arXiv.org 1994-09
Main Authors: Anderson, Douglas R, Connolly, Francis X, Munkholm, Hans J
Format: Article
Language:English
Subjects:
Homology
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Summary: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.
ISSN:2331-8422