Splitting obstructions and properties of objects in the Nil categories

Koźniewski, Tadeusz

Fundamenta Mathematicae, Tome 159 (1999), p. 155-165 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1999-01-01

Zbl 0938.19001

EUDML-ID : urn:eudml:doc:212397

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     author = {Tadeusz Ko\'zniewski},
     title = {Splitting obstructions and properties of objects in the Nil categories},
     journal = {Fundamenta Mathematicae},
     volume = {159},
     year = {1999},
     pages = {155-165},
     zbl = {0938.19001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p155bwm}
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Koźniewski, Tadeusz. Splitting obstructions and properties of objects in the Nil categories. Fundamenta Mathematicae, Tome 159 (1999) pp. 155-165. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p155bwm/

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