Sphères d'homologie rationnelle
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André Gramain (1974/1975)
Séminaire Bourbaki
André Haefliger (1964/1966)
Séminaire Bourbaki
Tadeusz Koźniewski (1999)
Fundamenta Mathematicae
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.
Jean Barge (1976)
Annales scientifiques de l'École Normale Supérieure
François Laudenbach (1976)
Bulletin de la Société Mathématique de France
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