Geodesic
Splitting obstructions and properties of objects in the Nil categories
Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 155-165 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm-161-1-2-155-165

Tadeusz Koźniewski  1

1 
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Tadeusz Koźniewski . Splitting obstructions and properties of objects in the Nil categories. Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 155-165. doi: 10.4064/fm-161-1-2-155-165

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