Geodesic
A complement to the theory of equivariant finiteness obstructions
Fundamenta Mathematicae, Tome 151 (1996) no. 2, pp. 97-106.

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It is known ([1], [2]) that a construction of equivariant finiteness obstructions leads to a family $w_α^H(X)$ of elements of the groups $K_0(ℤ [π_0(WH(X))_α^*])$. We prove that every family ${w_α^H}$ of elements of the groups $K_0(ℤ [π_0(WH(X))_α^*])$ can be realized as the family of equivariant finiteness obstructions $w^H_α(X)$ of an appropriate finitely dominated G-complex X. As an application of this result we show the natural equivalence of the geometric construction of equivariant finiteness obstruction ([5], [6]) and equivariant generalization of Wall's obstruction ([1], [2]).
DOI : 10.4064/fm-151-2-97-106

Paweł Andrzejewski 1

1 
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Paweł  Andrzejewski. A complement to the theory of equivariant finiteness obstructions. Fundamenta Mathematicae, Tome 151 (1996) no. 2, pp. 97-106. doi : 10.4064/fm-151-2-97-106. http://geodesic.mathdoc.fr/articles/10.4064/fm-151-2-97-106/

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