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Splitting obstructions and properties of objects in the Nil categories

Volume 161 / 1999

Tadeusz Koźniewski Fundamenta Mathematicae 161 (1999), 155-165 DOI: 10.4064/fm-161-1-2-155-165

Abstract

We show that the objects of Bass-Farrell categories which represent 0 in the corresponding Nil groups are precisely those which are stably triangular. This extends to Waldhausen's Nil group of the amalgamated free product with index 2 factors. Applications include a description of Cappell's special UNil group and reformulations of those splitting and fibering theorems which use the Nil groups.

Authors

  • Tadeusz Koźniewski

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